The functions f(x) and g(x) are described below:

f(x) = 32x + 8
g(x) = 32x − 9

The graph of g(x) is obtained by shifting down the graph of f(x) by _____ units.

Numerical Answers Expected!

Answer for Blank 1:

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Question 11 (Multiple Choice Worth 5 points)

(03.01 LC)

Which set represents the range of the function shown?

{(8, 2), (6, 5), (4, 7), (11, −2)}
{−2, 2, 5, 7} {4, 6, 8, 11} {(2, 8), (5, 6), (7, 4), (−2, 11)} {−2, 2, 4, 5, 6, 7, 8, 11}

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Question 12 (Multiple Choice Worth 5 points)

(03.07 LC)

Choose the equation of the horizontal line that passes through the point (−2, −1).
y = −1 y = −2 x = −2 x = −1

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Question 13 (Multiple Choice Worth 5 points)

(03.03 MC)

The graph below shows a line segment PQ:

graph of line PQ going through ordered pairs negative 1, 3 and 2, negative 3

Which of the following equations best represents the line segment PQ?
y = −3x + 2 y = −2x + 1 y = −3x − 2 y = −2x − 1

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Question 14 (Multiple Choice Worth 5 points)

(03.05 LC)

Which of the following statements best describes the effect of replacing the graph of y = f(x) with the graph of y = f(x) − 11?
The graph of y = f(x) will shift up 11 units. The graph of y = f(x) will shift right 11 units. The graph of y = f(x) will shift left 11 units. The graph of y = f(x) will shift down 11 units.
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The functions f(x) and g(x) are described below:

f(x) = 32x + 8
g(x) = 32x − 9

The graph of g(x) is obtained by shifting down the graph of f(x) by _____ units

„ª

Mental

Abuse
To
Humans

I hate math ughhhhhhhhhhhhhhh

I give tf up on life

This is easy. Just read the lessons.

To find the units by which the graph of f(x) is shifted down to obtain the graph of g(x), you need to look at the equation of g(x) and compare it to the equation of f(x).

In f(x), the constant term is +8, which means the graph intersects the y-axis at the point (0, 8).
In g(x), the constant term is -9, which means the graph intersects the y-axis at the point (0, -9).

To find the vertical shift, you subtract the y-coordinate of the point on g(x) from the y-coordinate of the corresponding point on f(x):
Vertical shift = -9 - 8 = -17

Therefore, the graph of g(x) is obtained by shifting down the graph of f(x) by 17 units.

Numerical Answer: 17