Answers26MATH_Recovery_Alg1B22Quadratic Functions: Factored Form

Quadratic Functions: Factored Form Answers

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The graph of the function f(x) = (x + 6)(x + 2) 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 function is increasing over (–∞, –4).
E
The function is negative over (–6, –2).
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Which graph represents the function f(x) = (x – 3)2?

A
[Image: On a coordinate plane, a parabola opens up. It goe...]
Option A
B
[Image: On a coordinate plane, a parabola opens up. It goe...]
Option B
C
[Image: On a coordinate plane, a parabola opens up. It goe...]
Option C
D
[Image: On a coordinate plane, a parabola opens up. It goe...]
Option D
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A
Jeremiah
B
Lindsay
C
Stephen
D
Alexis
11

Which function has a vertex at (2, –9)?

A
f(x) = –(x – 3)2
B
f(x) = (x + 8)2
C
f(x) = (x – 5)(x + 1)
D
f(x) = –(x – 1)(x – 5)
12

Zander was given two functions: the one represented by the graph and the function f(x) = (x + 4)2. What can he conclude about the two functions?

A
They have the same vertex.
B
They have one x-intercept that is the same.
C
They have the same y-intercept.
D
They have the same range.
13

Explain how you could write a quadratic function in factored form that would have a vertex with an x-coordinate of 3 and two distinct roots.

Answer:

The vertex lies on the axis of symmetry, so the axis of symmetry is x = 3. Find any two x-intercepts that are equal distance from the axis of symmetry. Use those x-intercepts to write factors of the

15

Which points did you include in your response? Check all that apply.

A
The vertex lies on the axis of symmetry.
B
The x-intercepts are the same distance from the line of symmetry.
C
Subtract an x-intercept from x to form a factor of the function.

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