Answers26MATH_Recovery_Alg1B22Quadratic Functions: Vertex Form

Quadratic Equations and their Related Functions Answers

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1
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A
f(x) = 0.5(x + 3)(x − 1)
B
f(x) = 0.5(x − 3)(x + 1)
C
f(x) = 2(x + 3)(x − 1)
D
f(x) = 2 (x − 3)(x + 1)
2
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A
y = 0.5(x + 2)2 + 4
B
y = 0.5(x + 3)2 – 0.5
C
y = 0.5(x – 3)2 – 0.5
D
y = 0.5(x – 2)2 + 4
3

Use the graphing calculator to graph the quadratic function y=2x2-6x-8.Which values are solutions of 0=2x2-6x-8? Select two options.–4–1014

A
–4
B
–1
C
0
D
1
E
4
4

The quadratic function f(x) = –x2 – 6x – 8 is graphed.

Question illustration
A
2 and –4
B
–2 and 4
C
–2 and –4
D
2 and 4
5

Use the graphing calculator to graph and find the zeros of the function y = 2x2 + 0.4x – 19.2. The zeros of the function are

A
–3.2 and –19.2.
B
–3.2 and 3.
C
–3 and 3.
D
–3 and –19.2.
6

Use the graph of the function y = (x + 3)(x − 2) to find the solutions of the quadratic equation 0 = (x + 3)(x − 2).

Question illustration
A
–6 and 0.
B
–4 and 3.
C
–3 and 2.
D
–2 and 1.
7

Solve 0 = 5x2 – 1.5x – 0.5 by using the graphing calculator to graph the related function. What are the solutions to the equation?

A
–0.5 and 0.2
B
–0.2 and 0.5
C
–0.5 and 0.5
D
–0.2 and –0.5
8

Which graph represents a quadratic function that has one real zero?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
9

Which quadratic function has one real solution?

A
0 = 2(x + 7)(x – 5)
B
0 = (x – 3)(x – 3)
Option B
C
0 = 2.4(x – 2)(x + 2)
D
0 = (x – 2)(x – 1)
Option D
10

Graph the quadratic function y = 2x2 − 6x − 140. What are the solutions of the quadratic equation 0 = 2x2 − 6x − 140?

A
−7 and 10
B
7 and 10
C
−2 and 70
D
2 and 70
11

Which graph represents a quadratic function that has no real zeros?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
12

Consider the graph of the quadratic function y = 3x2 – 3x – 6.

Question illustration
A
–1 and 2
B
–6 and –1
C
–1 and 1
D
–6 and 2
13

Use the graphing calculator to graph the quadratic function y = 2x2 + 2x – 40. What are the zeros of the function?

A
4 and –5
B
–4 and 5
C
–5 and –40
D
4 and –40
14

0123

A
0
B
1
C
2
D
3

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