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Quadratic Functions: Standard Form Answers

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{
{y|y ≥ –1}
{
{y|y ≤ –1}
{
{y|y ≥ –11}
{
{y|y ≤ –11}
2
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The graph of which function has an axis of symmetry at x = 3?

Question illustration
f
f(x) = x2 + 3x + 1
Option f
f
f(x) = x2 – 3x – 3
Option f
f
f(x) = x2 + 6x + 3
Option f
f
f(x) = x2 – 6x – 1
Option f
3

three

T
The domain is {x|x ≤ –2}.
T
The range is {y|y ≤ 6}.
T
The function is increasing over the interval (–∞ , –2).
T
The function is decreasing over the interval (−4, ∞).
T
The function has a positive y-intercept.
4

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

T
The graph will always have zero x-intercepts.
T
The function will always have a minimum.
T
The y-intercept will always be the vertex.
T
The axis of symmetry will always be positive.
5

The a value of a function in the form f(x) = ax2 + bx + c is negative. Which statement must be true?

T
The vertex is a maximum.
T
The y-intercept is negative.
T
The x-intercepts are negative.
T
The axis of symmetry is to the left of zero.
6

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

(
(0, –5)
(
(0, –3)
(
(0, 3)
(
(0, 5)
7

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).

Question illustration
(
(–6.5, ∞)
(
(–5, ∞)
(
(–∞, –5)
(
(–∞, –6.5)
8

two

Question illustration
T
The domain of the function is .
Option T
T
The range of the function is all real numbers.
T
The vertex of the function is .
Option T
T
The function has two x-intercepts.
T
The function is increasing over the interval (, ∞).
Option T
9

Tempestt graphs a function that has a maximum located at (–4, 2). Which could be her graph?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

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
11

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)
12

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

Question illustration
A
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).
Option A
B
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).
Option B
C
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).
Option C
D
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).
Option D
13

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
14

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)

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