At Home Part 4 Answers

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21
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Consider the function shown on the graph.

Question illustration
A
f(x) = (x + 3)(x + 7)
B
f(x) = (x – 3)(x – 7)
C
f(x) = 3(x – 3)(x – 7)
D
f(x) = 11(x + 3)(x + 7)
22
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Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16)?

A
f(x) = –(x – 2)(x – 4)
B
f(x) = –(x + 2)(x + 4)
C
f(x) = –2(x – 2)(x – 4)
D
f(x) = –2(x + 2)(x + 4)
25

The graph of the function f(x) = (x + 2)(x + 6) is shown below.

Question illustration
A
The function is positive for all real values of x wherex > –4.
B
The function is negative for all real values of x where–6 < x < –2.
C
The function is positive for all real values of x wherex –3.
D
The function is negative for all real values of x wherex < –2.
27

three

T
The vertex of the function is at (–4,–15).
T
The vertex of the function is at (–3,–16).
T
The graph is increasing on the interval x > –3.
T
The graph is positive only on the intervals where x 1.
T
The graph is negative on the interval x < –4.
28

Which translation maps the graph of the function f(x) = x2 onto the function g(x) = x2 + 2x + 6?

A
left 1 unit, up 5 units
B
right 1 unit, up 5 units
C
left 2 units, up 2 units
D
right 2 units, up 2 units
30

Which equation, when graphed, has x-intercepts at (−1, 0) and (−5, 0) and a y-intercept at (0, −30)?

A
f(x) = −6(x + 1)(x + 5)
B
f(x) = −6(x − 1)(x − 5)
C
f(x) = −5(x + 1)(x + 5)
D
f(x) = −5(x − 1)(x − 5)
31

Consider the quadratic function f(x) = x2 – 5x + 12. Which statements are true about the function and its graph? Select three options.The value of f(–10) = 82The graph of the function is a parabola.The graph of the function opens down.The graph contains the point (20, –8).The graph contains the point (0, 0).

Question illustration
A
The value of f(–10) = 82
B
The graph of the function is a parabola.
C
The graph of the function opens down.
D
The graph contains the point (20, –8).
E
The graph contains the point (0, 0).
36

The function f(x) = −(x + 5)(x + 1) is shown.

Question illustration
A
all real numbers less than or equal to 4
B
all real numbers less than or equal to −3
C
all real numbers greater than or equal to 4
D
all real numbers greater than or equal to −3
39

Which is one of the transformations applied to the graph of f(x)=x2 to change it into the graph of g(x) = –x2 + 16x – 44?

A
The graph of f(x) = x2 is widened.
B
The graph of f(x) = x2 is shifted left 8 units.
C
The graph of f(x) = x2 is shifted down 44 units.
D
The graph of f(x) = x2 is reflected over the x-axis.

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