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Quadratic Functions: Standard Form Answers

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On a coordinate plane, a parabola opens up. It goes through (negative 3, 0), has a vertex at (negative 1, negative 11), and goes through (1, 0).

Question illustration
A
{y|y ≥ –1}
B
{y|y ≤ –1}
C
{y|y ≥ –11}
D
{y|y ≤ –11}
2
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Tempestt graphs a function that has a maximum located at (–4, 2). Which could be her graph?

A
On a coordinate plane, a parabola opens up. It goes through (negative 6, 6), has a vertex at (negative 4, 2), and goes through (negative 2, 6).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (2, 6), has a vertex at (4, 2), and goes through (6, 6).
Option B
C
On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 2), has a vertex at (negative 4, 2), and goes through (negative 2, negative 2).
Option C
D
On a coordinate plane, a parabola opens down. It goes through (2, negative 2), has a vertex at (4, 2), and goes through (6, negative 2).
Option D
3

What is the x-intercept of the graph of the function f(x) = x2 − 16x + 64?

A
(−8, 0)
B
(0, 8)
C
(8, 0)
D
(0, −8)
4

What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?

A
(0, –5)
B
(0, –3)
C
(0, 3)
D
(0, 5)
5

The graph of which function has a y-intercept of 3?

A
On a coordinate plane, a parabola opens up. It goes through (negative 3, 3), has a vertex at (negative 1.5, 0.75), and goes through (0, 3).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (1, 4), has a vertex at (3, 0), and goes through (5, 4).
Option B
C
On a coordinate plane, a parabola opens up. It goes through (negative 5, 4), has a vertex at (negative 3, 0), and goes through (negative 1, 4).
Option C
D
On a coordinate plane, a parabola opens up. It goes through (negative 4, 5), has a vertex at (negative 1, negative 4), and goes through (2, 5).
Option D
6

The graph of which function has an axis of symmetry at x = 3?

A
f(x) = x2 + 3x + 1
Option A
B
f(x) = x2 – 3x – 3
Option B
C
f(x) = x2 + 6x + 3
Option C
D
f(x) = x2 – 6x – 1
Option D
7

On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 2, negative 16), has a y-intercept at (0, negative 12), and goes through (2, 0).

Question illustration
A
(–6, 0), (2,0)
B
(–2, –16), (0, –12)
C
(–6, 0), (–2, –16), (2, 0)
D
(0, –12), (–6, 0), (2, 0)
8

Which statements about the graph of the function f(x) = 2x2 – x – 6 are true? Select two options.

A
The domain of the function is .
Option A
B
The range of the function is all real numbers.
C
The vertex of the function is .
Option C
D
The function has two x-intercepts.
E
The function is increasing over the interval (, ∞).
Option E
9

The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?

A
(−5, 41)
B
(−5, 56)
C
(−5, 76)
D
(−5, 91)
10

The axis of symmetry for the graph of the function f(x)=3x2+bx+4 is . What is the value of b?

Question illustration
A
−18
B
−9
C
9
D
18

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Quadratic Functions: Standard Form Answers…