AnswersAlgebra III AQuadratic Functions: Standard Form

Quadratic Functions: Standard Form Answers

0 verified answers
1
Free Preview

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)
2
Free Preview

Which statements about the graph of the function f(x) = –x2 – 4x + 2 are true? Select three options.

A
The domain is {x|x ≤ –2}.
B
The range is {y|y ≤ 6}.
C
The function is increasing over the interval (–∞ , –2).
D
The function is decreasing over the interval (−4, ∞).
E
The function has a positive y-intercept.
3

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
4

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

A
The vertex is a maximum.
B
The y-intercept is negative.
C
The x-intercepts are negative.
D
The axis of symmetry is to the left of zero.
5

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
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 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
A
(–6.5, ∞)
B
(–5, ∞)
C
(–∞, –5)
D
(–∞, –6.5)
8

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)
9

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
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

Did you find these answers helpful?

More from this Course

Quiz
10 verified answers

Quadratic Functions: Standard Form

Quiz
10 verified answers

Quadratic Functions: Standard Form

Quiz
10 verified answers

Quadratic Functions: Factored Form