AnswersAISD Algebra I-B Credit Recovery 2026-2027Quadratic Functions: Standard Form

Quadratic Functions: Standard Form Answers

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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
2
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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)
3

The axis of symmetry for the graph of the function is x=6. What is the value of b?

Question illustration
A
−12
B
−3
C
Option
Option C
D
3
4

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)
5

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.
6

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
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

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
9

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

A
The graph will always have zero x-intercepts.
B
The function will always have a minimum.
C
The y-intercept will always be the vertex.
D
The axis of symmetry will always be positive.
10

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

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