Answer by Earlsdon(6294) (Show Source) You can put this solution on YOUR website!Select a few x x values, and plug them into the equation to find the corresponding y y values The x x values should be selected around the vertex Tap for more steps Replace the variable x x with − 1 1 in the expression f ( − 1) = ( − 1) 2 f ( 1) = ( 1) 2 Simplify the resultFirst week only $499!
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If y = f(x), the graph of y = af(x) is ), parallel to the xaxis Scale factor 1/a means that the "stretch" actually causes the graph to be squashed if a is a number greater than 1 Example The graph of y = x 1 would be the same as the above graph, but shifted one unit to the right (so the point of the V will hit the xaxis at 1 ratherAnswer and Explanation 1 The graph of the parent function is g(x) = x3 g ( x) = x 3 The given function is f(x) = (x7)3−8 f ( x) = ( x 7) 3 − 8 We have to find the transformationArrow_forward Question Im pretty stuck on these
Free functions calculator explore function domain, range, intercepts, extreme points and asymptotes stepbystepI understand that for y=f(x) you just reflect the parts of the graph below the x axis in the x axis as with any modulus graph, but I don't understand how y=f(x) is different I feel like it should just be the same?Compared to the graph of f (x) = 3x, describe the transformation (indicate the direction of the shift and number of units) that would produce the graph of each of the following Then identify the domain, range, and horizontal asymptote of each function a) g (x) = 3x 5 b) h (x) = 3x2
Compared to the graph of f(x)=\sqrt{x}, the graph of g(x)=\frac{1}{2} \sqrt{x} is (stretched / shrunken) by a factor of _____ Some points on the graph of f(x Some points on the graph of f(x Boost your resume with certification as an expert in up to 15 unique STEM subjects this summerHow does the graph of f(x)=2 x^{2} compare with the graph of y=x^{2} ?Compare the functions $ f(x) = x^10 $ and $ g(x) = e^x $ by graphing both $ f $ and $ g $ in several viewing rectangles When does the graph of $ g $ finally surpass the graph of $ f $?
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Worked problem in calculus The graph of the derivative f'(x) is given We show how the graph of f(x) is obtainedThe parameter a can be added to or subtracted from the input x before the rule f is applied y = f(x) becomes y = f(x ± a) These transformations are called horizontal shifts or translationsThey move the graph of the given function left (adding positive a) or right (subtracting positive a)Compare the graph with the graph of f(x)=x Equation g(x)=x5 Please explain to me how to graph the equation, I'm confuse!
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3 A g(x) is vertically stretched O True O False B g(x) is reflected across the xaxis O True O False C g(x) is translated up O True O False D g(x) is translated left O True O False is close Start your trial now!A wider and translated down B wider and translated up C narrower and translated down D narrower and translated up 1 See answer cgarten000 is waitingGraph of y = f(x) This has the effect of reflecting the graph about the \(x\)axis Summary 1;
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Desmos offers bestinclass calculators, digital math activities, and curriculum to help every student love math and love learning mathGraph Transformation Graph transformation rules canMath Algebra Q&A Library 3 When compared to f (x) = e*, how does the graph of h (x) = e**34 x3 differ?
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Graph the function Compare the graph to the graph of f(x)=x Describe the domain and range g(x)=−3x Graph the function Compare the graph to the graph of f(x)=x Describe the domain and range g(x)=−3x Categories Uncategorized Leave a Reply Cancel reply Your email address will not be published Required fields are marked * Comment Name * Email *Find f'(x) f(x) = ex – 2x f'(x) = e2 %3D Compare the graphs of f and f' and use them to explain why your answer is reasonable f'(x) f' is positive when fSelect f' is negative when f = 0 when f Select Selectclose Start your trial now!Cgarten000 cgarten000 Mathematics Middle School answered Compared to the graph of f(x)=x^2, the graph of g(x)=2x^25 is _____?
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F(x) = 6x − 2g(x) = 04(6)x − 2 the answers to ihomeworkhelperscom Graph f(x) = −2x 2 3x – 3 a = −2, so the graph will open down and be thinner than f(x) = x 2 c = −3, so it will move to intercept the yaxis at (0, −3) Before making a table of values, look at the values of a and c to get a general idea of what the graph should look likeExplain This problem has been solved!Then the graph of y = f(x c) is obtained by translating the graph of y = f(x) c2 See answers Sample Response The graphs are reflections of each other over the yaxis The graph of g(x) shows exponential decay, while the graph of f(x) shows exponential growth Advertisement Advertisement codiepienagoya codiepienagoya Answer The answer to this
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Summary "Function Composition" is applying one function to the results of another (g º f) (x) = g (f (x)), first apply f (), then apply g () We must also respect the domain of the first function Some functions can be decomposed into two (or more) simpler functions A cubic polynomial function f is defined by f (x) = 4x^3 ax^2 bx k where a, b and k are constants The function f has a local minimum at x = 1, and the graph of f has a point of inflection at x= 2 a) Find the values of You can view more similar questions or ask a new questionSince the input \(x\) can be any real number the range of \(f\) is all the integers, \(\mathbb{Z}\) The function \(g(x)=xx\) which means it subtracts the whole number part, leaving only the fractional part of the input value \(x\) For integer values of \(x\), \(x=x\) which means that \(g(x)=0\) So the graph of the function looks like this
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The graph of f(x) and f1 (x) are symmetric across the line y=x Example Square and Square Root (continued) First, we restrict the Domain to x ≥ 0 {x 2 x ≥ 0 } "x squared such that x is greater than or equal to zero" {√x x ≥ 0 } "square root of x such that x is greater than or equal to zero" And you can see they are "mirror images" of each other about the diagonal y=x NoteTo graph an equation that is given to you in "function" form, as in your problem, replace the f(x) and g(x) with y, as follows f(x) = x change to y = x g(x) = x5Draw the graph of f(x) = (x − 2) 2 − 1 (or f(x) = x 2 − 4x 3) and compare it to the basic graph g(x) = x 2 If we use the same method as in the previous example we can guess that the graph has moved two units to the right and one unit down Now we will check this by making a table of values, beginning with x = 0 and drawing the graph
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How do the graphs of the functions f(x) = (Threehalves)x and g(x) = (Twothirds)x compare?The most helpful vocabulary related to your question has to do with the parity of a given function Functions are described as odd, even, neither Most functions are neither odd nor even, but it is great to know which ones are even or odd and how to tell the differenceFirst week only $499!
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Worked example matching a function, its first derivative and its second derivative to the appropriate graphDiscussion You must be signed in to discuss Video Transcript No, that's right Hey Limits That is 8 Miranda Yeah All right minus modified playing this one So it's going to be the can we learnCompared to the graph of f(x)=x^2, the graph of g(x)=2x^25 is _____?
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Question How do I compare the graph f(x)=x to g(x)=x5 What I am technically asking is what would the lines on the graph look like with the equation, g(x)=x5?That is, the rule for this transformation is –f (x) To see how this works, take a look at the graph of h(x) = x 2 2x – 3Page 1 of 3;
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Graph f (x) = square root of x f (x) = √x f ( x) = x Find the domain for y = √x y = x so that a list of x x values can be picked to find a list of points, which will help graphing the radical Tap for more steps Set the radicand in √ x x greater than or equal to 0 0 to find where the expression is defined x ≥ 0 x ≥ 0How does the graph of {eq}f(x) = log_2(x 5) 2 {/eq} compare to its parent function {eq}f(x) = log_2x {/eq}?The graph of f (x) = (168) x f (x) = (168) x is shifted right 3 3 units, stretched vertically by a factor of 2, 2, reflected about the xaxis, and then shifted downward 3 3 units What is the equation of the new function, g (x)?
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Arrow_forward Question View transcribed image text fullscreen Expand check_circle Expert Answer Want to see the stepbyF(x) means that you replace every 'x' by x f(x) means that you change or of f(x) It is the same function, if the function only has x with odd exponents like x, x^3, x^5, x^(7) etc However, if you have anyhing else, f(x) is not f(x) FLet's look at the graphs for and You can see that the graph of is just the graph of only shifted up 5 spaces That is, for every xvalue
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Y=f x and y= f(x) are 2 different things the first is just the modulus of INTERPRETING GRAPHS OF f(x)Functions of graphs can be transformed to show shifts and reflections Graphic designers and 3D modellers use transformations of graphs to design objects and images
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Compared to f (x)=2^x, this graph is shifted to the left and down 3 units This will lower the graph at the outset, but it will climb a power of 2 earlier or to the left of the parent graph base graph (1, 05), (0, 1), (1, 2), (2, 4) new graph without shift of 3 (1, 1), (0, 2), (1, 4), (2, 8)Graph f(x)=x Find the absolute value vertex In this case, the vertex for is Tap for more steps To find the coordinate of the vertex, set the inside of the absolute value equal to In this case, Replace the variable with in the expression The absolute value is the distance between a number and zero The distance between and is The absolute value vertex is The domain of the💬 👋 We're always here Join to connect with other students 24/7, anytime, night or day
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A Vertical stretch of 4, shifted right 3 units, and shifted down 4 units B Vertical compression of , shifted left 3 units, and shifted down 4 units C Vertical stretch of 4, shifted left 3 units, and shifted down 4 unitsSo we're asked which function has the greater yintercept so the yintercept is the y coordinate when X is equal to 0 so f of 0 when X is equal to 0 the function is equal to you'll see F of 0 is going to be equal to 0 minus 0 plus 4 is going to be equal to 4 so this function right over here it has a yintercept of 4 so it would intersect the y axis right over there well the function that we'rePurplemath The last two easy transformations involve flipping functions upside down (flipping them around the xaxis), and mirroring them in the yaxis The first, flipping upside down, is found by taking the negative of the original function;
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Compared to the graph of f(x) = each statement about the graph of x1 g(x) g(x)= 2 true or false? The graph of g(x) is graph of f(x) shifted 3 units positive on the xaxis g(x) = x3 f(x) = x Hence g(x) = f(x3) The graph of g(x) is graph of f(x) shifted 3 units positive to the right This can be seen on the graph of g(x) below graph{x3 10, 10, 5, 5} Algebra Science Anatomy & Physiology Astronomy Astrophysics Biology Chemistry Earth Science Environmental ScienceState its yintercept (to the nearest thousandth), domain, and range 7 The graph of f x =1 2 (1 4) x2 4 f x =1 2 (1 4) x2 4 is shifted downward 4 4
Solution How Do I Compare The Graph F X X To G X X 5 What I Am Technically Asking Is What Would The Lines On The Graph Look Like With The Equation G X X 5
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Thanks Answer by Earlsdon(6294) (Show Source) You can put this solution on YOUR website!Graph a function with absolute value with a horizontal shiftCompared to the graph of f(x)=\sqrt{x}, the graph of g(x)=\frac{1}{2} \sqrt{x} is _____ across the (x axis / y axis ) and (stretched / shrunken) by a factor 💬 👋 We're always here Join our Discord to connect with other students 24/7, any time, night or day
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Graph f(x)=cos(x) Use the form to find the variables used to find the amplitude, period, phase shift, and vertical shift Find the amplitude Amplitude Find the period of Tap for more steps The period of the function can be calculated using Replace with in the formula for period The absolute value is the distance between a number and zero The distance between and is Divide by As shown below For this problem we can first use our transformation knowledge, where if y = f(x) then y = f(x) c just simply means a transformation of (0, c) or in other words, a shift upward by c So hence g(x) = x7 is simply the graph y = f(x) sheted 7 units upward We can also verify this by graphing the different lines, where we can tabualte a few values and draw theIn this problem, we're going to use a graphing calculator to compare the functions f of X equals X to the fifth Power and G of X equals five to the X power So we type those into our y equals menu, and what we want to do is look at them using several different viewing wreck rectangles, and then we're gonna find the points of intersection And so, for starters, for a good viewing with rectangle
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Can anyone help me understand the difference between the graphs of y= f(x) and y=f(x), please? For instance, if I have f(x)=(x) 3 3, then the graph would translate three units upwards Reflection Reflection is different compared to translation To investigate this transformation, consider the signs of the inputs and outputs y=f(x) will indicate that the graph has reflected about the xaxis y=f(x) will indicate that the graph has reflected about the yaxis y=f(x
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