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Quadratic Functions: Standard Form Answers

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1
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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
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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).
10

What is the vertex of the function f(x) = x2 + 3x + ? (, )

Answers:
Selection 1:–3
Selection 2:–3
13

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.
14

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.
15

Use the drop-down menus to describe the key aspects of the function f(x) = –x2 – 2x – 1. The vertex is the . The function is increasing . The function is decreasing . The domain of the function is . The range of the function is .

Answers:
Selection 1:maximum value
Selection 2:when x < –1
Selection 3:when x > –1
Selection 4:all real numbers
Selection 5:all numbers less than or equal to 0
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Quadratic Functions: Standard Form Answers…