The graph of y= f(x-3) is the graph of y= f(x) 4 A. vertically compressed by a factor of 4 and shifted right 3 units

Q: 8. The graph of y = f(- x) is a reflection of the graph of y = f(x) in the x-axis.

A: Authoring guidelines:…

Q: g(x) = V8x – 1

A: We need to find the range (y-axis)

Q: The graph of y = 5(x) is obtained by a/an stretch of the graph of y = f(x) by multiplying each of…

A: Given graph is y=f(x).

Q: The horizontal asymptote of x + 5 f (x) = x2 is the line with equation O a y = 1 b y = 0 C X = 1 d.…

A: Given a function f(x)=x+5x2 To find the horizontal asymptote of f(x)

Q: The area of the largest rectangle that can be drawn with one side along the x-axis and two vertices…

A: The diagram below shows the rectangle as mentioned in the problem, The rectangle is symmetric about…

Q: neath the graph of f(x) = 7x³ about the y-axis ov

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Q: Suppose that the graph of f(x) = x 4 - x 2 is compressed horizontally by a factor of 2 and then…

A: Whenever a graph is compressed by a factor a, the function of the graph is multiplied by the factor.…

Q: Q5: (A): Finding a curve whose slope at the point (x, y)is 3x² if the curve is required to pass…

A: if the curve is passing through the point (1,-1) then we have to find the curve if the slope of the…

Q: The graph of y= f (-x)-2 is the graph of y= f(x) 1. A. reflected over the x-axis and shifted down 2…

A: Explained below

Q: Starting with the graph of f(x) = 4ª, write the equation of the graph that results when: (a) f(x) is…

A: Here we have to use the concept of transformation of graphs.

Q: snip

A: We have given f(x)=2x2+5, g(x)=3x+a and f∘g crosses the y-axis at 23. f∘g (read as "f of g") is a…

Q: The graph of f(x) = x² is shifted 3 units to the left. This graph is then vertically shrunk by a…

A: Given: f(x)=x2 shifted 3 units left vertically shrunk=15along x-axis shifted downwards by7 units

Q: (3x + 1 if x< 1 if x21 Sketch the graph of f(x) = 3

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Q: 4. The graph of the function f(x)= /16-x² is a half-circle. If we shift this graph 2 units to the…

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Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x° + 4x² – 3x – 3 at x = -4.

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Q: The slope of the line tangent to the graph of f(x) = 12 – 2x? at the point x = -9 4 9.

A: Solution

Q: Starting with the graph of f(x) = 6ª, write the equation of the graph that results when: (a) f(x) is…

A:

Q: let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q…

A: Check point of discontinuity and find q. Then using given intercept point find p.

Q: Find the point on the graph of the function x = √10y that is closest to the point (0, 4)

A: The given function and point are x=10y and (0, 4) respectively. The graph of the function x=10y is:…

Q: How does the graph of f(x) = 2*+2 compare to the graph of g(x) = 2* + 2? The graph of f(x) is a…

A: The graph f(x) is a translation of the parent function h(x) =2x 2 units to the left Given functions…

Q: The slope of the line tangent to the graph of f(x) = 15 – 3a2 at the point z = -8 %3D 48 96 O 12 O…

A: Solution is given below : Answer: 48

Q: Starting with the graph of f(x) = 9ª, write the equation of the graph that results when: %3D (a)…

A: Write the equation of shifting

Q: How does the graph of f(x) = (+2)4 + 6 compare to the parent function g(x) = x*? X 6|个 + Source C…

A: Given query is to find the transformation applied.

Q: 61. If f(x) = 2x² + 5 and g(x) = 3x + a, find a so that the graph of fo g crosses the y-axis at 23.

A: f(x)=2x2+5g(x)=3x+a

Q: The graph of f(x) = x2 – 7 is horizontally stretched by a factor of 4.5. Write the equation…

A: Here the graph of f(x)=x²-7 is horizontally stretched by a factor of 4.5.  We want to write the…

Q: Find the points on the graph of the function that are closest to the given point y = x2 − 2,     (0,…

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Q: True or false: The graph of g(x) = Vx + 4 is the graph of f(x) = Vĩ shifted horizontally to the…

A: Given,     The graph of g(X)=x+4  is the graph of f(x)=x  shifted horizontally to the right by 4…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 4x³ + 7x2 – 4x – 3 at z = -5.

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Q: 1 then shifted to the left 3 units and down 2 units. 2 b. The graph of f(x) Vr is horizontally…

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Q: Find the function f whose graph has slope 2x2 + 4 df dx and which passes through the point (1, 1).

A: Given: The slope of the function is, dfdx=2x2+4x

Q: show steps please.

A: We will find the first two derivatives of F(x) We use the fundamental theorem of calculus To find…

Q: Starting with the graph of f(x) = 4", write the equation of the graph that results when: (a) f(x) is…

A:

Q: For what value(s) of x does the graph of f(x) = 4x3 - 6x2 - 144x - 24, have a horizontal tangent?

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Q: Find the equation of horizontal asymptote of y=3(0.2^x)+15pi

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Q: The graph of f(x) = mx - 3x - nx +5 has a relative maximum at (-1,12) and a point of (1 3) 2' 2…

A:

Q: If f(x) = 3x^2 − 7 and g(x) = 2x + a, find a so that the graph off ◦ g crosses the y-axis at 68.

A: Given

Q: Find the points on the graph of the function y = x^2 + 5 that are closest to the point (0, 3).

A: Here we can use application of derivatives ti find the closest point.  Here we want to minimise the…

Q: The graph of y = x^3 is translated to create a cubic function f(x) with x-intercepts at (-4,0),…

A: Given   x-intercepts are (-4,0), (-1,0) and (4,0).   Therefore factors are (x+4) , (x+1) and (x-4)…

Q: Starting with the graph of f(x) = 8", write the equation of the graph that results when: (a) f(x) is…

A: If any function f(x) is given then :1) y = f(x+a)   : then f(x) is shifted 'a' unit left , that is…

Q: b. The graph of f(x) = V is horizontally compressed by a factor of then shifted to the left 3 units…

A: I have appended the concept used in the solution part.

Q: In(5x2 + 8) Find the slope of f (x) at (7, 1.84). Use a graphing utility and round to the nearest…

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Q: Starting with the graph of f(x) = 5ª, write the equation of the graph that results when: (a) f(x) is…

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Q: Fill in each blank so that the resulting statement is true.

A: Compared with the graph of fx=1x, the graph of gx=1x+2-1 is shifted 2 units ______ and 1 unit _____.

Q: A quadratic function y J (x) is plotted on a graph and the vertex of the || resulting parabola is…

A: If y = f(x) + C ,then C &gt; 0 moves it up C &lt; 0 moves it down If y = f(−x), then Reflects it…

Q: Starting with the graph of f(x)=4^x, write the equation of the graph that results when: (a) f(x) is…

A: topic - transformation of function

Q: (c) For what value(s) of x does the graph f (x) =3x³ – x² +3 have a horizontal tangent.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: (a) How is the graph of y = f(x – 3) + 2 obtained from the graph of f? %3D (b) How is the graph of y…

A: Shifting or change in the graph of the function f(x) is done by adding, subtracting, multiplying,…

Q: Starting with the graph of f(x) = 4", write the equation of the graph that results from %3D a.…

A:

Q: The revenue function of a company as a function of units sold x is R(x)=2x−0.005x2. How many units…

A: Given revenue function: