Write an expression for g(x) if the graph of g is obtained from the graph of f(x) = x – 3 by reflecting f about the (a) x-axis (b) y-axis (c) line y = 2 (d) line x = 3

Q: Sketch the graphs of g and g 1. Then find the rule for g-x) g(x)=x2+2 (x 20) gx) =

A: Given function is gx=x2+2

Q: Let f (x) = -3 (x – 5) (x + 2) Let 8 (x) be represented by the graph below. Which statement is true…

A:

Q: Sketch the graph of the function y=f(x)=1-x with domain [-1, 1] and range [0, 1]. Find the domain…

A: What is Domain and Range of a Function: For a function depending upon a single independent variable,…

Q: Sketch the graph of f.

A: We have to sketch the graph of function: fx=35x Since this is exponential function therefore its…

Q: SKetch graph : f(x) (2-x if xI

A: For  x<-1f(x)=2-xat x=-2   y=f(x)=4at x=-3   y=f(x)=5 Plot this line on graph

Q: Sketch the graph of the function.

A: Sketch the graph of the function. g(x)=x-1

Q: Use the graph of f(x) = x2 to graph g(x) = 2(x + 3)2 - 1.

A:

Q: Graph f(x) = ln x and g(x) = ln(x + 3) in the same viewing rectangle. Then describe the relationship…

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Q: Sketch a graph of the function f(x) = 5 − 3x and determine whether it is even,odd, or neither.…

A: Given:      f(x)=5−3x

Q: Use a graphing utility to graph x² - 5x + 6 x - 2 x? - 4x + 3 (x) = and g(x) x - 2 What differences…

A: Solution: Consider the given functions are; f(x) = x2-4x+3x-2 f(x) = x2-3x-x+3x-2 f(x) = x-3x-1x-2…

Q: Using the attached graph, sketch the derivative. Graph of polynomial f(x) 2 6. -1 -2 -3 -5 -6

A: See the graph whereg graph is increasing f'(x) will be possitive that means it Will be above from x…

Q: Sketch the graph of the function given. (a) f(x) = 4x - x2     (b) g(x) = |4x - x2 |

A: Given: f(x)=4x-x2 g(x)=|4x-x2|

Q: Explain how the graphs of g and h are obtained from the graph of f. f(x) = x', g(x) = (x + 47, h(x)…

A: topic - functions

Q: Use graphical addition to sketch the graph of f+g.

A: Consider the given graph.

Q: How is the graph of g(x)=f(kx) related to the graph of f when k = 5?

A:

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: The graph of f) = x' is transformed to create the graph of g(x) = f(x) – 3 . Which graph best…

A: given function

Q: Use a graphing utility to graph f(x) = (x2 - 4x + 3)/(x - 2), and g(x) = (x2 - 5x + 6)/(x - 2). What…

A: Given: f(x)=x2-4x+3x-2 g(x)=x2-5x+3x-2 To find: The graph of f and g and also  differences between…

Q: The graph of f'(x) is shown. Which graph would best represent the graph of f(x) ?

A:

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: If the graph of f(x) is given by Then the graph of f(-x)+2 is

A: F(x) is given

Q: Sketch the graph of f(x) = 1/(x2+1)

A: The graph of f(x) = 1/(x2+1)

Q: Sketch a graph of f(x) given the graph of f below. where f(x) = 2x - 3| + 1

A: This is the problem of a real-valued function.

Q: left, right, upward, downward (a) How is the graph of y = f(x - 2) +1 obtained from the graph of f?…

A: Given (a) y=f(x-2)+1

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1

A: Given: fx=3x, gx=3x-1 for drawing graph of given gx, first we simplify gx so, gx=3x-1=3x.3-1=3x3

Q: Sketch the graph of f (x) = xex .

A: Solution : Consider the given function;' f(x) = x ex We have the graph of ex

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

A: Let the given graph is f(x). (a) To obtain the graph of y=f(x-3)+2 First, horizontally translate the…

Q: Graph F(x) = -(x + 1)(x – 1)^2(x – 2) by doing the following. Plot all the points where the graph…

A:

Q: The graph y=f(x) is graphed below. What is the end behavior of f(x)?

A:

Q: Sketch the graph of f.

A: Solution:Givenf(x)=x2-x-6x+1To sketch the graph of the given function.

Q: Use the graph of y = f(x) to sketch the graph of f'(x). 10+

A: The given graph is:

Q: Explain how the graph of g is obtained from the graph of f. f(x) =x², g(x)=x² +2

A:

Q: 9. Sketch the graph and determine the domain and range -x', x 2

A:

Q: Sketch the graphs of g and g 1. Then find the rule for g-(x). g(x)=x2+2 (x20) gx) =

A:

Q: 5. The graph of f(x) = x² is given below. Graph -(x).

A: Given graph of function  , f(x)=x2, and we have to draw a graph of -f(x), For graph look at step 2

Q: Use the graph of f(x) = 5. to sketch the graph of g. %3D g(x) = %3D x - 8

A: Now, the center of g(x) shifted to 8x -axis. The graph of g(x) , curve will be drawn between the…

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: Sketch the graph of f.

A: given,

Q: Sketch the graph of f(x) = xª – 2.x² + 7 using graphing strategy (analyze f, f' and f").

A: Consider the graph of f(x).

Q: Use the graph of f(x) = x2 to graph g(x) = (x + 3)2 + 1.

A: fx=x2 The graph is,

Q: Sketch the graph of f.

A: Given, f(x)=3-x2

Q: Use transformation rules starting with the basic function f(x) = |x| to sketch and Describe the…

A:

Q: Sketch the graph of the function. y = e−x2

A: we have to sketch the graph of y=e-x2

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: Find f -1(x) . (b) Sketch the graphs of f and f-1 on the same coordinate plane.

A: Given- fx=10-15x To Find- The inverse function f-1x and sketch the graph of fx and f-1x.

Q: : Sketch the graph of f(x) = -xel/x %3D

A: