How do the values of a, h, and k affect the graph of f(x) = a(x – h)² + k?

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

A: Given graph is: It is the graph of y=fx=2x

Q: 10. The profit, P, of a video company (in thousands of dollars), is given by P(x) = -5x² +550x-5000,…

A: Sol Part D :- Graph the Function & Domain:- The domain of a function is the set of input or…

Q: how is the graph g(x)=(x-6)^2-4 related to the graph of f(x)=x^2?

A: In this question transfomation takes place.

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: Sketch the graph of fif 3x + 4 f(x) : 2x – 5

A: Given; fx=3x+42x-5 The graph of the given function is,

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

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Q: Draw the graph of f(x) – (x + 3)?

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Q: what does b(x) = (-1) + f(x) mean when shifting a graph

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Q: Draw the graph of f(x) = – (x – 2)² + 3 below.

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Q: Which statement is not true of the graph f(x) = (x+3)(x-4)²

A: First we calculate stationary point by putting derivative equal to zero. After that put stationary…

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: 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: How can the graph of f(x) = -(x -1 ) 2 +6 be obtained from the graph of y = x 2?

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Q: what is the end behavior of the graph f (x) = -0.5x^2 - 3x -4

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

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Q: Consider G(x) = (x-1)4(x+2)   What are the x intercepts of the graph of y=G(x+2)

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

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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: how do you draw the graph of f ( x ) = 5^(x + 4)

A: We have to graph the given function.

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: 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: 2. How does the value of k affect the graph of f(x) = (x- h) + k?

A:

Q: True or false: The graph of f(x) = (x - 2)2 + 1 opens upward._______

A: Given equation is fx=x-22+1 Given equation can be written as: fx=x-22+1=x2-4x+4+1=x2-4x+5 We know…

Q: What is the smallest value for a such that (a,0) is an x-intercept for the graph of…

A: If point a,0 is an x-intercept for the graph of fx=4x3+11x2-8x-15, then it must satisfy the…

Q: if f(x)= x2-3x-2 which graph could represent f(x)?

A: The given function is fx=x2-3x-2. Draw the graph of the given function. Here we use quadratic…

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: x2 - 9 f(x) = %3D x2 + 4x + 3

A: Given fx=x2-9x2+4x+3

Q: 7. Use the graph of f(x) → 3x² to obtain the graph of h(x) =x² .2

A:

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: Compare and contrast the graphs of z2 = x² +y² and z = x² + y²

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Q: Consider the graph of y=f (x) 7. -2 -1 10 -1

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

A:

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: The graph of y-Jx) is shown. HS4 2 3 4 5 -2 -3 Evaluate x when x) 4

A: The graph of the function f(x) is shown below:

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: What is the end behavior of the graph of f(x) = – 0.5x2 – 3x – 4? A.as x increases, f(x) increases;…

A: The given function is

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

A:

Q: The graphs of f (x) = 2" and g(x) = 3"- are shown. %3D

A: According to logarithm formula .

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: Suppose (1, 3) is a point on the graph of y = f(x).• What point is on the graph of y = f(x + 3) −…

A: y = f(x + 3) − 5 means y=f(x) moved 3 units left and 5 units down. (x,y) -> (x-3 , y-5). So,…

Q: suppose that the x-intercepts of the graph of y=f(x) are: -7 and 2  what are the x-intercepts of the…

A: The x intercepts of the graph, y is given below.