AnswersPA PCS Math 1 2026 Fall Sem XRQuadratic Functions: Standard Form

Solving Quadratic Equations: Zero Product Property Answers

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Which statement describes the graph of f(x) = 4x2 + 20x + 25?

A
The graph does not intersect the x-axis.
B
The graph touches the x-axis at (–2.5, 0).
C
The graph intersects the x-axis at (–0.4, 0) and (0.4, 0).
D
The graph intersects the x-axis at (2, 0) and (5, 0).
2
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An equation has solutions of m = –5 and m = 9. Which could be the equation?

A
(m + 5)(m – 9) = 0
B
(m – 5)(m + 9) = 0
C
m2 – 5m + 9 = 0
D
m2 + 5m – 9 = 0
3

Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20?

A
= –3
Option A
B
= –4
Option B
C
= 3
Option C
D
= 4
Option D
4

Which function has zeros at x = −2 and x = 5?

A
f(x) = x2 + 2x − 10
B
f(x) = x2 − 2x − 10
C
f(x) = x2 + 3x − 10
D
f(x) = x2 − 3x − 10
5

What are the solutions of 3x2 + 14x + 16 = 0?

A
x = , –2
Option A
B
x = –2,
Option B
C
x = , 2
Option C
D
x = , 2
Option D

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