Get the detailed answer How do I Graph f(x)=4x^22x3 graph Limited Spots Get paid $40 to learn a new subject in our summer challenge!F(x) = log 2(x 3) and g(x) = log 2(3x 1) (a) Solve f(x) = 4 What point is on the graph of f?(b) Solve g(x) = 4 What point is on the graph of g?
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G x f x 2 5 graph-(d) Solve (fg)(x) = 7 (e) Solve (f9)(x) = 4 (a) The solution set for f(x) = 4 is (Type an integer or a simplifiedGraph f(x)=2(x4)^26 Find the properties of the given parabola Tap for more steps Use the vertex form, , to determine the values of , , and Since the value of is positive, the parabola opens up Opens Up Find the vertex Find , the distance from the vertex to the focus
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Multiplying 1 to both sides of the equation, we have;The graph of g(x) is a translation of f(x) 2 units left The graph of g(x) is a translation of f(x) 2 units rightCheck the box to show `f(x) g(x)` and verify that the red function being shown really is the sum of `f` and `g` Drag the blue point on the `x`axis, and observe the correspondence between the numerical values on the left and the graph on the right
A continuous function f, defined for all x, has the following properties 1 f is increasing 2 f is concave down 3 f(13)=3 4 f'(13)=1/4 Sketch a possible graph for f, and use it to answer the following questions about f AMore Like other functions, f (x) = a g (bx), if a is negative (outside) it reflects across x axis and if b is negative it reflects across the y axis So for square root functions, it would look like y = a √ (bx) Outside reflect across x such as y = √x, and inside reflect across y such as y = √xJan 23, 18 · The curve of #f(x)=x^2# is translated #c# units in the positive #y# direction If #c
We define the graph of a scalarvalued function of two variables, f R 2 → R in the same way The graph is the set of points ( x, y, f ( x, y)) for all ( x, y) in the domain of f When often call this the graph of z = f ( x, y), since we think of the points as lying in x y z space You may not find this formal definition particularlyExperts are tested by Chegg as specialists in their subject area We review their content and use your feedback to keep the quality high Transcribed image text Use the graph of y=f (x) to graph the function g (x) = f (x) 1 y = f (x) лу 6 4 22 х 6 4 2 2 ܒܠܐ 6 2 4 Use the graph of y=f (x) to graph the function g (x) = f (xMay 02, 19 · Stepbystep explanation Substitute 2x into the equation where x is located G (x)= (2x)^2=4x^2 This will be a graph which has been vertically stretched has a very steep curve to it facing up It is C 1jaiz4 and 11 more users found this answer helpful heart outlined
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How to graph a quadratic function using transformationsSketch the graph of this function 1) Y= x^22x8/x2 2) The graph of y=g(x) is a transformation image of the graph y= f(x) after verticals and horizontal compressions and or stretches Corresponding points are labelled what is the equation of the image graph in terms of the function f13M1slTZ12a Write down the \(x\)intercepts of the graph of \(f\) 14N1slTZ01a Write down the \(y\)intercept of the graph of \(f\) 08N2slTZ01b Write down the equation of the axis of symmetry of the graph of f 12M2slTZ12a(i) and (ii) (i) Write down the coordinates of the vertex (ii) Hence or otherwise, express the
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How to graph a quadratic function with vertical scaling#1 A cubic polynomial function f is defined by f(x) = 4x^3 ax^2 bx k where a, b and k1 The figure above shows the graph of a function f, defined by f(x) = 2x 4 f of x equals the absolute value of open parenthesis 2x closed parenthesis plus 4 for all numbers x For which of the following functions g defined for all numbers x does the graph of g intersect the graph of f?
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Shrinks and Stretches are when the graphed function either becomes smaller (shrinks) or widens along the graph (stretches) This is usually the effect of multiplying x times a number, or placing a number before it For example y= x^2 shrunk is y= 3 (x^2) For a shrink, the number infront of x is always negative y= x^2 stretched is y= 2 (x^2)Dec 16, 17 · Graph of the Parabola for the Quadratic Equation #color(red)(y = f(x)= x^2)#Equation1opens up as the coefficient of #color(red)(x^2)# term is greater than ZERO Vertex is at #(0,0)# We have a minimum value for this parabola The Vertex is on the Line of Symmetry of the parabola Line of Symmetry at x = 0 is the imaginary line where we could foldAug 25, 19 · Click here 👆 to get an answer to your question ️ Function g(x) = 2x2 – 8 For x ≥ 0, the inverse function is f(x)= √ 1 2 x 4 For x ≤ 0, the inverse functi
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EXAMPLE 4 Sketch the graph of the function f x x x x x ( ) = ≤ > 2 2 1 1 2 if if Solution The function f is a piecewise function with a different formula for two intervals To graph f , graph each portion separately, making sure that each formula is applied only on the appropriate interval The function f is a linear function onThis can be written as Hence, the reflection of the function over the x axis isJun 14, 21 · 1Describe how each number transforms the graph of f(x)= ?x to obtain the graph of f(x)= 1?
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For each x x value, there is one y y value Select few x x values from the domain It would be more useful to select the values so that they are around the x x value of the absolute value vertex Tap for more steps Substitute the x x value − 2 2 into f ( x) = x x f ( x) = x x In this case, the point is ( − 2, 0) ( 2, 0)By sketching the functions we see that the upper curve is f (x) = 9x 2 and the lower curve is g (x) = x 1 (see Figure 1017) So the area between the curves is given by A = Z 21 (9x 2)(x 1) dx = Z 21 (8xx 2) dx = 8 x1 2 x 21 3 x 3 21 = 1628 381 2 1 3 = 34 3 49 6 = 117 6 186 Dr Joseph K AnsongQuestion In two or more complete sentences, compare the number of xintercepts in the graph of f(x) = x^2 to the number of xintercepts in the graph of g(x) = x^2 7 Be sure to include the transformations that occurred between the parent function f(x) and its image g(x) Answer by Boreal() (Show Source)
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The graph of lies units above the graph of So, denoting by the points on the graph of corresponding to and on the graph of we have , , and For and the relationship of to is that its output has the opposite sign So we will find , , and Finally for and , the relationship of to is that it shifts the graph of to the left by two units, soThe graph is wider as "a" approaches 0 and narrower as it approaches 1 As seen in the graph below, with the red color as the f(x) = x^2 function and the succeeding colors being values between 0About Press Copyright Contact us Creators Advertise Developers Terms Privacy Policy & Safety How works Test new features Press Copyright Contact us Creators
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Graph f(x)=3sin(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 using the formulaApr 04, · We need to determine the reflection of f(x) over the x axis Reflection over x axis The translation rule to reflect over the x axis is given by Reflecting the function over the x axis, we get;Question In two or more complete sentences, compare the number of xintercepts in the graph of f(x) = x^2 to the number of xintercepts in the graph of g(x) = x^2 7 Be sure to include the transformations that occurred between the parent function f(x) and its image g(x) Found 2 solutions by Alan3354, MathLover1
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First write the composition in any form like \( (go f) (x) as g (f(x)) or (g o f) (x^2) as g (f(x^2))\) Put the value of x in the outer function with the inside function then just simplify the function Although, you can manually determine composite functions byJan 08, 21 · How does the graph of g(x) = 3X – 2 compare to the graph of f(x) = 3X?(A) g(x) g of x = x − 2 (B) g(x) g of x = x 3 g(x) g of x = 2x − 2
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Jul 24, 17 · g(x) = f (x) − 10, in other words, the standard f (x) is moved 10 down graph {x^210 228, 228, 114, 114} Answer linkAva graphs the function h (x) = x2 4 Victor graphs the function g (x) = (x 4) 2 Which statements are true regarding the two graphs?One of the three diagrams A, B, or C below represents parts of the graphs of f and g Based only on the derivatives, state which diagram is the correct one, and state also why each of the other two diagrams is incorrect Diagram A Diagram B Diagram C g(x) g(x) g(x) f(x) X f(x) f(x) Q3 Consider the function y = f(x) = 2x3 – 3rº – 12x 13
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Function Grapher Much work has been done to provide this utility to you free of charge I believe in (and fully support) free software, and I encourage all that want to use this software to do so without reservation If you would like to donate to this cause (and future free tools), use the button above or email me and let me knowSelect 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 0 0 in the expression f ( 0) = 2 ( 0) 2 − 3 ⋅ 0 4 f ( 0) = 2 ( 0) 2 3 ⋅ 0 4 Simplify the resultQuestion 4054 Explain how to use the graph of f(x) = 2x to obtain the graph of g(x) = log2x Answer by stanbon(757) ( Show Source ) You can put this solution on YOUR website!
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Apr 10, 17 · Describe a function g(x) in terms of f(x) if the graph of g is obtained by reflecting the graph of f about the xaxis and if it is horizontally stretched by a factor of 6 when compared to the graph of f g(x)=Af(Bx)C where A= B= Calculus Functions?Jun 24, 19 · 👍 Correct answer to the question the graph of g(x) is the result of translating the graph of f(x)=(1/2)x three units to the left what is the equation of g(x)?No matter what the base, an exponential function of the form f(x)=bx always goes through the point ( ___, b) where b is the base 1 If f(x)=3x and g(x)=7x,, then graph of
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We have seen that the area of the region under the graph of a positive function f (x) on a, b is given by the definite integral f (x) dxThe above properties may help extend this result Indeed, consider the region bounded above by the graph of f (x) and below by the graph of g(x), and bounded on the sides by the vertical lines x = a and x = b, with a b(c) Solve f(x) = g(x) Do the graphs of f and g intersect?Feb 18, 12 · Let f be the function that is given by f(x)=(axb)/(x^2 c) It has the following properties 1) The graph of f is symmetrical with respect to the yaxis 2) The graph of f has a vertical asymptote at x=2 3) The graph of f passes
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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 3 3 in the expression f ( 3) = ( 3) 2 − 8 ⋅ 3 15 f ( 3) = ( 3) 2 8 ⋅ 3 15 Simplify the resultX2 1 You don’t need to graph the equation32 Graph the equation on the x,y coordinate plane 12(x1)=4(y2) 2 3let g(x) be a verticalCheck all that apply Ava's graph is a vertical translation of f (x) = x2 Victor's graph is a vertical translation of f (x) = x2 Ava's graph moved 4 units from f (x) = x2 in a positive direction
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It should be noted that for any (differentiable) function mathy=f(x)/math, "the maximum distance from xaxis" must occur at a critical number of mathf(x)/math — that is, it is either the absolute maximum value of the function (if above tThe graph of g(X) can be obtained from the graph of f(X) by the transformation of the graph of f(X) 4 unit towards the positive y axisbecause for each X
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