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On a coordinate plane, a parabola opens up. It starts in quadrant 1, crosses the x axis where the vertex is in quadrant 4, and crosses the x-axis back into quadrant 1.

f(x) = (x – 8)2 + 6

f(x) = (x + 8)2 + 6

f(x) = (x + 8)2 – 6

f(x) = (x – 8)2 – 6

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What are the x-intercepts of the function f(x) = –x2 – x + 2?

(–2, 0) and (1, 0)

(2, 0) and (1, 0)

(–2, 0) and (-1, 0)

(0, -2) and (0, 1)

What is the vertex of the graph of the function f(x) = x2 + 8x − 2 ?

(−4, 18)

(0, -2)

(-8, -2)

(−4, −18)

Which graph represents the function f(x) = –x2 + 5?

On a coordinate plane, a parabola opens down. It goes through (negative 3, negative 4), has a vertex at (0, 5), and goes through (3, negative 4).

On a coordinate plane, a parabola opens up. It goes through (negative 2, 9), has a vertex at (0, 5), and goes through (2, 9).

On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 9), has a vertex at (negative 5, 0), and goes through (negative 2, negative 9).

On a coordinate plane, a parabola opens up. It goes through (negative 8, 9), has a vertex at (negative 5, 0), and goes through (negative 2, 10).

Given the function f(x) = −5x2 − x + 20, find f(3).

−28

−13

Mary throws a plastic disc to her friend. Her friend catches the disc six seconds after Mary throws it. The table shows the height of the disc at one-second intervals.

A = 5, B = 3

A = 4, B = 0

A = 4, B = 3

A = 5, B = 0

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

all real numbers less than or equal to 4

all real numbers less than or equal to −3

all real numbers greater than or equal to 4

all real numbers greater than or equal to −3

The graph of the function f(x) = –(x + 3)(x – 1) is shown below.

The domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1.

The domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4.

The domain is all real numbers, and the range is all real numbers less than or equal to 4.

The domain is all real numbers less than or equal to 4, and the range is all real numbers.

Which point is an x-intercept of the quadratic functionf(x) = (x – 8)(x + 9)?

(0,8)

(0,–8)

(9,0)

(–9,0)

Which is the graph of f(x) = x2 – 2x + 3?

On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (1, 2), and goes through (2, 3).

On a coordinate plane, a parabola opens up. It goes through (negative 2, 3), has a vertex at (negative 1, 2), and goes through (0, 3).

On a coordinate plane, a parabola opens up. It goes through (0, 3), has a vertex at (2, negative 1), and goes through (4, 3).

On a coordinate plane, a parabola opens up. It goes through (negative 4, 3), has a vertex at (negative 2, negative 1), and goes through (0, 3).

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (3, 6), has a vertex at (5, 2), and goes through (7, 6).

g(x) = (x + 5)2 + 2

g(x) = (x + 2)2 + 5

g(x) = (x – 2)2 + 5

g(x) = (x – 5)2 + 2

Which function has an axis of symmetry of x = −2?

f(x) = (x − 1)2 + 2

f(x) = (x + 1)2 − 2

f(x) = (x − 2)2 − 1

f(x) = (x + 2)2 − 1

On a coordinate plane, a parabola opens down. It has an x-intercept at (negative 5, 0), a vertex at (negative 1, 16), a y-intercept at (0, 15), and an x-intercept at (3, 0).

The domain is all real numbers. The range is {y|y < 16}.

The domain is all real numbers. The range is {y|y ≤ 16}.

The domain is {x|–5 < x < 3}. The range is {y|y < 16}.

The domain is {x|–5 ≤ x ≤ 3}. The range is {y|y ≤ 16}.

Which quadratic function is the standard form of the equation shown?f(x) = x + 8 + 2x + 5x2

f(x) = 8 + 5x2 + 2x + x

f(x) = x + 2x + 5x2 + 8

f(x) = 8 + 3x + 5x2

f(x) = 5x2 + 3x + 8

A 2-column table with 5 rows. The first column is labeled x with entries negative 2, negative 1, 0, 1, 2. The second column is labeled f of x with entries 3, negative 2, negative 3, 0, 7.

one-fifth

The graph of which function is decreasing over the interval (–4, ∞)?

f(x) = (x + 4)2 + 4

f(x) = –(x + 4)2 + 4

f(x) = (x – 4)2 – 4

f(x) = –(x – 4)2 – 4

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

(0,6)

(0,–6)

(6,0)

(–6,0)

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (negative 6, 10), has a vertex at (negative 4, 6), and goes through (negative 2, 10).

g(x) = (x – 4)2 + 6

g(x) = (x + 6)2 – 4

g(x) = (x – 6)2 – 4

g(x) = (x + 4)2 + 6

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

The function is positive for all real values of x wherex > –4.

The function is negative for all real values of x where–6 < x < –2.

The function is positive for all real values of x wherex –3.

The function is negative for all real values of x wherex < –2.

Which function increases at the fastest rate between x = 0 and x = 8?

A 2-column table with 5 rows titled Linear Function with the equation f of x = 2 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 6, 10, 14, 18.

A 2-column table with 5 rows titled Exponential Function with the equation f of x = 2 Superscript x Baseline + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 3, 6, 18, 66, 258.

A 2-column table with 5 rows titled Quadratic Function with the equation f of x = 2 x squared + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 10, 34, 74, 130.

A 2-column table with 5 rows titled Linear Function with the equation f of x = 3 x + 2. The first column is labeled x with entries 0, 2, 4, 6, 8. The second column is labeled f of x with entries 2, 8, 14, 20, 26.

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