(a) How is the graph of y = f(x – 3) + 2 obtained from the graph of f? (b) How is the graph of y = f(-x) obtained from the graph of f?

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: How is the graph of f(t)= \og,t !! 4 related to the graph Of glt)=4

A:

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: How might you restrict the domain of f(x) = x2, graphed in Figure 1.71, so that the remaining…

A: Given that, f(x)=x2 We have to Find How to restrict the domain of f(x)=x2  So that the remaining…

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: Describe the translation needed to obtain the graph of g(x) = 2X-4 from the graph of f(x) = 2*.…

A: Describe the translation needed to obtain the graph of g(x)=2x-4 from the graph of f(x) = 2x

Q: Sketch the graph of the function

A: We need to sketch the graph of the function, y=e-x2

Q: How does the graph of f(x) 22 compare to the graph of g(x)= 2"+27 whereas the graph The graph of…

A:

Q: Sketch the graph of y = f(2x) and y = f(x), where f(x) = \x| +1

A: The figure below shows the graph of y=f(2x)=2|x| + 1.

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

A:

Q: (-x² – 2x+3 if x1 a. Sketch the graph of f(x)

A:

Q: 3 Graph the equation f(x) = - I + 4. 4 4 2- -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 3.

A: This question is about graphing the line

Q: The graph of g(x) = logs(-x) is the graph of f(x) = logsx reflected about the %3D

A: We can plot both the graphs to see thatThe blue curve represents the equation y = log5(x) and the…

Q: -3x – 5 is obtained from the graph of f (x) = |x| + 1.b) Describe how the graph of g (x) = -|x| Зх +…

A:

Q: Use the graph of f(x) = 3√x to obtain the graph of h(x) = 3√-x.

A: Obtain the graph of hx=-x3

Q: Use the graph of y = f(x) to graph y = f(-x) + 3. (0, 4) (3, 2) (-2, 0) 1- -4-3-2-1, 2 3 4 -2- -3.…

A: Given graph: y=f(x) We need to graph y=f(-x)+3

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: 2. Given the graph of y = f(x), sketch the graph of y =-f(x+1).

A:

Q: (a) Graph f (x) =x+2 for x 0. x+2 for x 0

A: 1.  Graph fx = x+2, for x≤0

Q: The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the__________ .

A: A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection…

Q: 8. Given (x) - x', sketch the graphs from y = f(x) to 1 1 (x + 6) 2 (x - 5 = -

A:

Q: The graph of y= {x) is compressed horizontally by a factor of reflected in the y-axis. What is the…

A: We have to find the equation of new function in terms of f(x).

Q: True or False The graph of y = - f(x) is the reflection about the x-axis of the graph of y = f(x).

A: To determine if the statement is true or false.

Q: 12. Sketch a picture of a graph y = f(x) that satisfies f'(-1) > 0, f'(0) = 0 and f'(1) < 0.

A: Follow the procedure given below

Q: The graph of y = -f(x) is the graph of y = f(x) reflected across the -axis.

A: Known fact: The graph of y=-fx can be obtained by reflecting the graph y=fx across the x-axis.

Q: 24. Graph of f' y 8+ x- x+ 3 3 -2 -1 1. -4+ 4.

A:

Q: Explain how to find f (a) geometrically from the graph of y = f (x).

A: Explain how to find f (a) geometrically from the graph of y = f (x).

Q: If f(x) = ax4 + bx3 + cx2 + dx + e, determine a, b, c, d and e so that the graph of f will have a…

A:

Q: The graph of 5% = where x > 0, lies entirely to the right of the y-axis O below the x-axis above the…

A: Given: Graph of the above is,

Q: Describe how the graph of f(x)=-2sec(x-pi/3)-1 can be obtained from the graph of y=sec(x)

A:

Q: 7. What is the equation of the asymptote for the function f(x) = 3(2x+³) + 2 a) y = -5 b) y = 3 c) y…

A:

Q: The graph of y=f(x)= ^3 √x -9 is horizontally stretched away from the y-axis by a factor of 3 to…

A: Given: y=f(x)=x3-9 To determine: Equation of new function when the graph is horizontally stretched…

Q: How is the graph of y = f(x+2) – 1 obtained from the graph of y = f(x)? %3D

A:

Q: The graph on the left was created by transforming f(x) = x'. Determine the equation of the graph.…

A: We need to determine equation of graph.

Q: the graph of y=f(x) has been transformed to the graph of y=g(x) as shown in the picture. no…

A: Vertex of g(x) is (1,-1)  (h,k) = (1,-1)   Equation of parabola when symmetric about Y-axis is given…

Q: 5) The graph of the function f(x) = 4-x has an inflection point at

A: Given: fx=x4-x We know that for any function, inflection point are points where second derivative of…

Q: 39. Show that the graph of y = f(x – b) is obtained by shifting the graph of y = f(x) to the right…

A:

Q: The graph of Y f() (solid) and y = g(x) (dashed) is shown %3D 2+ -6 -5 4 -3 -2 -1 2 3 4 5 -3 -4 -5

A: Given query is to find indicated limits.

Q: a) What transformations would you make to the graph y = f(x) to obtain the graph of y = f(x - 4) ?b)…

A: What transformations would you make to the graph y = f(x) to obtain the graph of y = f(x - 4)?

Q: A reflection in the x-axis of the graph of y = f(x) is represented by h(x) = ________, while a…

A: Since, we know that the reflection of point (a,b) in x-axis is (a,-b)and the reflection of point…

Q: Use the given graph of y = f(x) to solve graph g(x) = f(x - 1) + 1.

A:

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: what are the steps to graphing  f(x)=e^(-x/2)

A: Steps to graphing an exponential function: 1. Draw the graph of the general exponential function. 2.…

Q: Consider the graphs of y1 = f(x) and y2 = f(2x + 7). Make a prediction about how these graphs are…

A:

Q: Sketch the graph of y = (x – 3)*(x + 1)³(x - 1) by finding its intercepts and its limits as x → o…

A: topic - functions

Q: Sketch the graph of the function. y = e−x/2

A: Graph of the function y = e-x2

Q: Sketch the graph of f.

A: Given that

Q: Use the graph of f(x) 2 to sketch the graph of g. %3D g(x) = %3D

A: Given,         The graph of fx=2x2 is shown below :

Q: у 1 0 1 T 1 X

A: