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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.

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

(−4, 18)

(0, -2)

(-8, -2)

(−4, −18)

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).

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

left 1 unit, up 5 units

right 1 unit, up 5 units

left 2 units, up 2 units

right 2 units, up 2 units

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

(0,8)

(0,–8)

(9,0)

(–9,0)

An algebra tile configuration. Only the Product spot is shown. 8 tiles are in the Product spot in 3 columns with 3 rows. First row: 1 + x squared, 2 + x. Second row: 1 +x, 2 +. Third row: 1 +x, 1 +.

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?

The graph of f(x) = x2 is widened.

The graph of f(x) = x2 is shifted left 8 units.

The graph of f(x) = x2 is shifted down 44 units.

The graph of f(x) = x2 is reflected over the x-axis.

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = 4x2 + 24x + 30?

The graph of f(x) = x2 is widened.

The graph of f(x) = x2 is shifted left 3 units.

The graph of f(x) = x2 is shifted up 30 units.

The graph of f(x) = x2 is reflected over the x-axis.

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

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)

The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown.f(x) = 4(x2 + 12x) + 10 = 36

f(x) = 4(x + 6)2 + 10

f(x) = 4(x + 6)2 – 26

f(x) = 4(x + 6)2 – 134

f(x) = 4(x + 6)2 + 154

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 function in vertex form is equivalent to f(x) = x2 + x +1?

f(x) = +

The first three steps in writing f(x) = 40x + 5x2 in vertex form are shown.Write the function in standard form.f(x) = 5x2 + 40xFactor a out of the first two terms.f(x) = 5(x2 + 8x)Form a perfect square trinomial. = 16 f(x) = 5(x2 + 8x + 16) – 5(16)What is the function written in vertex form?

f(x) = 5(x + 4) – 80

f(x) = 5(x + 8) – 80

f(x) = 5(x + 4)2 – 80

f(x) = 5(x + 8)2 – 80

What is the axis of symmetry for the function f(x)=7−4x+x2?

x = –3

x = –2

x = 2

x = 3

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

left 4, down 9

left 4, up 23

right 4, down 9

right 4, up 23

The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function f(x) = x2?

g(x) is shifted 3 units left and 9 units up.

g(x) is shifted 3 units right and 9 units up.

g(x) is shifted 9 units left and 3 units down.

g(x) is shifted 9 units right and 3 units down.

Which is the graph of the function f(x) = x2 + 2x – 6?

On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 8), and goes through (2, 0).

On a coordinate plane, a parabola opens up. It goes through (negative 2, 0), has a vertex at (2, negative 8), and goes through (6, 0).

On a coordinate plane, a parabola opens up. It goes through (negative 4, 6), has a vertex at (4, negative 10), and goes through (8, negative 6).

On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 6), has a vertex at (negative 4, negative 10), and goes through (4, 6).

Which is one of the transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3?

shifted up 3 units

shifted left 7 units

shifted right 7 units

shifted down 3 units

An algebra tile configuration. Only the Product spot is shown. 15 tiles are in the Product spot in 6 columns with 6 rows. First row: 1 + x squared, 5 negative x. Below the + x squared tile are 5 negative x tiles. Off to the right are 4 negative tiles in a separate column.

What is the y-intercept of the quadratic functionf(x) = (x – 6)(x – 2)?

(0,–6)

(0,12)

(–8,0)

(2,0)

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 < –6 or x > –3.

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

On a coordinate plane, a parabola opens up. It goes through (negative 8, negative 2), has a vertex at (negative 5, negative 6.5), goes through (negative 2, negative 2), and has a y-intercept at (0, 6).

(–6.5, ∞)

(–5, ∞)

(–∞, –5)

(–∞, –6.5)

Charla wants to determine the vertex of the function f(x) = x2 – 18x + 60 by changing the function into vertex form. Which statement about the vertex of the function is true?

The x-coordinate of the vertex is greater than the y-coordinate.

The x-coordinate of the vertex is negative.

The y-coordinate of the vertex is greater than the y-intercept.

The y-coordinate of the vertex is positive.

For all functions of the form f(x) = ax2 + bx + c, which is true when b = 0?

The graph will always have zero x-intercepts.

The function will always have a minimum.

The y-intercept will always be the vertex.

The axis of symmetry will always be positive.

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