Quadratic Functions: Standard Form Answers

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Which statement is true about the polynomial –3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?

A
It has 3 terms and a degree of 5.
B
It has 3 terms and a degree of 7.
C
It has 4 terms and a degree of 5.
D
It has 4 terms and a degree of 7.
23

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}
24

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
25

Which is a factor of 6x2 + x − 7?

A
x + 1
B
2x + 1
C
6x + 7
D
3x + 7
26

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)
27

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)
29

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.

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