Use the graph of y = f(x) below to graph the function y = –3f(x – 2) 5- 4- 3 2- y = f(x) 1- -6 -5 4 -3 -2 3 5 2. --1- -2- -3- -5-

Q: Match the function with its graph. f(z) = – 2(x – 3)² 6+ 4 -3 -2 -1 -6 -5 -4-3 -2 -1 -6 -3 -2 3 4 5…

A: The function is given by f(x) = -2x-32

Q: Use the graph of y = f(x) to graph y = f(x - 2) - 1.

A: The objective is to plot the graph of y=fx-2-1 by using the graph y=fx. From the given graph, by…

Q: Find the local extreme values of the function: f(x,y)=xy-x^2-y^2-3x-3y+12.

A: It is given that, fx,y=xy-x2-y2-3x-3y+12We have to find the local extreme values.

Q: Sketch the graph of y = f(x + 2) - 1, where f(x) = x 2 for -2 ≤ X ≤ 2.

A:

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

A: To use the graph of f(x) to obtain the graph of h(x).

Q: what is the decreasing interval for the following function: y = -1/4x-5

A: The given function is: y=-14x-5 The function f(x) decreases when f'(x) < 0.

Q: 2) y=-5+ Vx+ 1

A:

Q: (b) Determine the domains and range of this function: y = v1 -x-

A: The given function is y=1-x2 the domain of the function is -1≤x≤1 In the interval notation the…

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x - 1) +4. y = f(x) Ay 8- 6- 4- -8 -6-4-2…

A: f (x – k) shifts the function k units to the right. Here k = 1. Given f(x),a new function…

Q: Use the graph of y = f(x) to sketch the graph of f'(æ). 10+ 7+ 6+ 5- 4+ 3+ 2-

A: In this question we will use basic of calculus i.e differentiation and sketching of curve. We will…

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: Use the graph of y f(x) below to graph the function y = f(x +2) - 1 5 3 2 y = f(x) -7 -6 -2 -1 0 1 3…

A:

Q: 6. For the function, y=x² - 4x - 5, complete the table then graph. -2 -1 1 4 2 10 -8 6 -4 -2 2468 10…

A: the equation given to us is  y=x2-4x-5

Q: Use the graph of y = f (x) to match the function with its graph. y = −f(−x) − 2

A:

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: 2. Graph the function: f(x) = - er-1 +2 x y xy

A:

Q: Match the function with its graph. I II y 1 III IV (a) f(x) = x2 ---Select--- (Б) f(x) = x3…

A: use the basic concept of function and  graph we get the match.

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: Use the graph of y = f(x) to graph the function g(x) = 2f(x)

A: Graphical problem

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x). %3D y = f(x) Ay 4- 2- -6 -4 -2 2 -4…

A:

Q: Find the slope of the graph of y = f(x) at the designated point. %3D f(x) = 2x - 7x +5; (3,2) The…

A: To find the slope of graph of y = f(x) at (3,2)

Q: Use the graph of f(x) = |x| to graph g(x) = – |2x|.

A: To obtain the graph of y=-|2x| from that of y'|x| by using a sequence of transformations

Q: 1. For the linear function f(x) = -4x + 3, (a) Find the slope and y-intercept. (b) Determine whether…

A: Slope of y=-4x+3:   Axis interception points of -4x+3:

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

A:

Q: The graph of y = f(æ) is given below. 3. 4 -3 - -1 2 3 4 5 1.

A: The given figure is,

Q: Use the graph of y = f(x) to graph the function g(x) = -f(2x)

A: Given graph of y=f(x):

Q: Sketch the graph of y = f(2x) and y = f(½x), where f(x) = lxl + 1

A: It is given that, f(x)=|x|+1   and if y=f(2x), then the function will be, y=f(2x)⇒y=|2x|+1⇒y=2|x|+1…

Q: Use the graph of y = f(x) given above to find: a) f(-1) = b) f(-3) =

A: We have to find the following values using the given graph.

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: Determine the value of x when the slope is its maximum for the function f(x)=2cos(3x)

A:

Q: Use the graph of y = f (x) to match the function with its graph. y = −f(x − 4)

A: The function is given as y=fx. From the transformations,  y=fx→y=-fx Here , the given function is…

Q: Use the graph of y= f(x) to graph the function g(x) = f(x- 2) -4. y = f(x) 8-

A: In general, for a function f(x), the transformation does the follows f(x+a) - shift the graph…

Q: Use the graph of y=f(x) to graph the given function. 4 y = f(x) -3 -2 -2- -3 -4- y=f(-x) 4. 3- 2-

A: Please see the below picture for detailed solution.

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x- 1) + 1. y- f(x) AY

A:

Q: Use the graph of y=f(x) to graph the given function. 4 3 2- -3 -2 -1 3 y= f(x) -1- -2- -3- ソ=f(-x) y…

A:

Q: Use the graph of y = f (x) to match the function with its graph. y = f(x − 1) + 3

A:

Q: Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Given,  f(x)=2 cos(3x)

Q: Use the graph of y = f(x) to graph the function g(x) = 2f(x)- y= f(x) Ay 4- -4 -2 -2-

A: =>y=f(x)=2  =>g(x)=2f(x)=2×2=4

Q: Use the graph of y =f(x) to graph the given function. y = f(x) -3 y=f(-x) 2.

A: To draw the graph of y=f-x, we will use the transformation properties. In which, we draw the graph…

Q: . Determine the value of x when the slope is its maximum for the function f(x) = 2cos (3x)

A: Here we have to use the concept of derivatives.

Q: Use the graph of y = f (x) to match the function with its graph.    y = f(x + 5)

A: The graph of y = f(x + 5) is obtained by shifting the graph y = f(x),  5 units towards left. The…

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

A:

Q: y 8, f(x) -6-5-4-3-2–1 1 2 3 4 5 9 10 -2kb -3 Match the functions with its graph 1. a) y = - f(x-4)…

A: 1) a)  y= -f(x-4) y= f(x) ---> y = -f(x) , the graph of y= f(x) will be reflected about x axis…

Q: Use the graph of y =f(x) to graph the given function. 4- -5 -2 3 -4 y = -f(x) 3. 2. 1.

A: Consider the figure y=fx, which is given below From the above figure, y=x+3 if −4<x≤−12…

Q: Sketch the graph of f.

A: Given that