A.  – The graph of y = f(x) is shown. Translate it to get the graph of y = f(x) + 3 B - The graph of y = g(x) is shown. Translate it to get the graph of y = g(x – 4)

Q: Describe the translation needed to obtain the graph of g(x) = 7X-9 from the graph of f(x) = 7*.…

A:

Q: Use the graph of y=f(x) to answer the following. 3+ 16 -2 -1 -2- -3-

A: we can find the values of 'x' for f(x) with the help of the graph.

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: Use the graph of f(x) = √x to obtain the graph of g(x) = √(x - 4)

A: We first graph the parent function  f(x) = √x

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

A:

Q: How is the graph of g(x) = (x - 8) 2 + 7 transformed from the graph of f(x)=x2?

A: g(x) = (x - 8)2 + 7 f(x) = x2 is the parent function. The function g(x) can be obtained by applying…

Q: h(x)=8x3+8x2−3x−2, what is the x coordinate of the inflection point for the graph of h(x)? (Do not…

A:

Q: How Is the graph of g (x)=x2+14 related to the graph of f(x)=x2? The graph of g (x)=x²+14Is the…

A:

Q: Explain how the graph of f(x) = 2Vx – I + 3 is related to the graph of y = Vx.

A:

Q: The graphs of f(x) = x² - 4 and g(x) = x2 - 4 are shown. y 8 8 6 fx) = x -4 6 g(x) = x -4| 4 2 2 -2…

A:

Q: Q3/ Sketch the graph of f(x) = x+1

A:

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

A:

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: Q3) Let f(x) = x², draw the graph of (x + 2)², what is type of this shifting and what is the value…

A:

Q: It is the graph of f' (x). y = f'(x) 3+ 1 -1- -3+ 5. 3. 1.

A:

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: For f(x) = x^3 + 5, write the rule for g(x) = f(x - 1) – 2 and sketch its graph

A: The function is given by f(x) = x3+5 To evaluate : The rule for g(x) = fx-1-2 and sketch it.

Q: Given the graph of y = f(x) below, find the value f(-4). 1 -5 -4 -3 –2 1 2 3. Provide your answer…

A: The graph passes through the point (-5,4)

Q: The graph of g(x) = ax2 opens downward and is narrower than the graph of f(x) = x2  what is value a?

A:

Q: use the graphs of f and g to graphh(x) = ( f + g)(x).

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: Below is the graph of y=f(x). Graph y=-f(x). 6- 十 2-

A: RemarkIf y=f(x) is a function , then y = f(-x_ isits reflection about y axisy=-f(x) is its…

Q: Below is the graph of y f(x). Graph y=-f(x). 2- -6 -4 -2 2. -2- -4- -6+

A:

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: How can the graph of f(x) = -4|x| be obtained from the graph of y= Ixl?

A:

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: For what values of x is the graph of y=xe^(−2x) concave down?

A: Find first derivative using product rule and chain rule.

Q: Given the graph of y = f(x) sketch the graph of f'(x) 2 -2 -2

A: Given: The graph of fx as follows:   To sketch: The graph of f'x

Q: c. If A(x) = x² In(f(x)), what is the value of A'(2)? What does this result say about the behavior…

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

A: The given graph is:

Q: How does the graph of f () = a²compare to the graph of g (2) = (x + 2)² – 7? The graph of 9 (æ) is…

A: Shifting of graph

Q: How does the value of a affect the graph of y = ax? Discuss the case for a 1 and for 0 s a s 1.

A: When a >=1  Graph will shrink towards y axis that is value of y increases more rapidly When 0…

Q: how can the graph of f(x)=1/(x-9)^2 + 7 be obtained from the graph of y= 1/x^2 ?

A:

Q: 2 Explain how the graph of y = -f(x - 2) compares to the graph of y = f(x).

A: The given function: y=-f(x-2) Parent function: y=f(x)

Q: Given the graph of  y = f(x)  above, graph  g(x) = −f(x).

A: From the figure, the coordinates for

Q: To obtain the graph of f(x) = (x – 3)3 +7, shift the graph of y = x³ to the right units and up…

A:

Q: how is the graph of g(x)=x³+2 related to the graph of f(x)=x^3

A: The graph of  x3 and x3+2 are related to each other.  Both the graphs work in same sense but graph…

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

A: fx=x2 The graph is,

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

A:

Q: Draw the graph of g(x) = f(x + 2) below. After finishing the graph, click outside the grid to stop…

A: Known fact: The graph of y=fx+a, a>0 can be obtained by shifting the graph y=fx, a units left…

Q: the graph of f(x)=x^2 is transformed to create the graph of g(x)=f(x)-9

A: Use downward shift of graph

Q: Try It Problem #2: How does the value of h affect the graph of f(x)= 2x-h? Compare the graphs of…

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

Q: Sketch the graph of f.

A: Given that

Q: Is the graph of g(x)=4x^3+9x^2+7x+3 concave up or down at the point with x-coordinate −2?

A: