AnswersHigh School Math 2 AIntroduction to Quadratic Functions

Quadratic Functions: Standard Form Answers

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The graph of which function will have a maximum and a y-intercept of 4?

A
f(x) = 4x2 + 6x – 1
B
f(x) = –4x2 + 8x + 5
C
f(x) = –x2 + 2x + 4
D
f(x) = x2 + 4x – 4
80618

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Answer:

2

80621

minimum valuemaximum valuey-intercept

A
minimum value
B
maximum value
C
y-intercept
80623

The graph of the function f(x) = x2 + 8x + 12 is shown. Which statements describe the graph? Check all that apply.

A
The vertex is the maximum value.
B
The axis of symmetry is x = –4.
C
The domain is all real numbers.
D
The range is all real numbers.
E
The function is increasing over (–∞, –4).
F
The x-intercepts are at (–6, 0) and (–2, 0).
80625

Which functions have an axis of symmetry of x = –2? Check all that apply.f(x) = x2 + 4x + 3f(x) = x2 – 4x – 5f(x) = x2 + 6x + 2 f(x) = –2x2 – 8x + 1f(x) = –2x2 + 8x – 2

A
f(x) = x2 + 4x + 3
B
f(x) = x2 – 4x – 5
C
f(x) = x2 + 6x + 2
D
f(x) = –2x2 – 8x + 1
E
f(x) = –2x2 + 8x – 2
80627

Which must be true of a quadratic function whose vertex is the same as its y-intercept?

A
The axis of symmetry for the function is x = 0.
B
The axis of symmetry for the function is y = 0.
C
The function has no x-intercepts.
D
The function has 1 x-intercept.
80628

Which error did Mathieu make?

A
He factored incorrectly.
B
He did not use the constant as the x-intercept.
C
He set the factored expressions equal to each other.
D
He incorrectly solved the equation x + 3 = x + 1.

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