Answers26MATH_Recovery_Alg1B22Quadratic Functions: Factored Form

Completing the Square (Continued) Answers

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What is f(x) = 8x2 + 4x written in vertex form?

A
f(x) = 8 –
Option A
B
f(x) = 8 –
Option B
C
f(x) = 8 – 2
Option C
D
f(x) = 8 – 4
Option D
2
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What is the vertex of g(x) = 8x2 – 48x + 65?

A
(–3, –7)
B
(3, –7)
C
(24, –7)
D
(–24, –7)
3

Which statement is true concerning the vertex and axis of symmetry of h(x)=−2x2+8x?

A
The vertex is at (0, 0) and the axis of symmetry is x = 2.
B
The vertex is at (0, 0) and the axis of symmetry is y= 2.
C
The vertex is at (2, 8) and the axis of symmetry is x = 2.
D
The vertex is at (2, 2) and the axis of symmetry is y = 2.
4

The function g(x) = 10x2 – 100x + 213 written in vertex form is g(x) = 10(x – 5)2 – 37. Which statements are true about g(x)? Select three options.The axis of symmetry is the line x = –5.The vertex of the graph is (5, –37).The parabola has a minimum.The parabola opens up.The value of a, when the equation is written in vertex form, is negative.

A
The axis of symmetry is the line x = –5.
B
The vertex of the graph is (5, –37).
C
The parabola has a minimum.
D
The parabola opens up.
E
The value of a, when the equation is written in vertex form, is negative.
5

Which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60?

A
The graph of f(x) = x2 is made narrower.
B
The graph of f(x) = x2 is shifted right 6 units.
C
The graph of f(x) = x2 is shifted down 48 units.
D
The graph of f(x) = x2 is reflected over the y-axis.
6

Which is one of the transformations applied to the graph of f(x)=x2 to produce the graph of g(x)=2x2−28x+3?

A
shifted up 3 units
B
shifted left 7 units
C
shifted right 7 units
D
shifted down 3 units
7

What is the axis of symmetry of h(x) = 5x2 + 40x + 64?

A
x = −16
B
x = −4
C
x = 4
D
x = 16
8

Which transformations have been applied to the graph of f(x) = x2 to produce the graph of g(x) = –5x2 + 100x – 450? Select three options.The graph of f(x) = x2 is shifted down 50 units.The graph of f(x) = x2 is shifted up 50 units.The graph of f(x) = x2 is shifted left 10 units.The graph of f(x) = x2 is shifted right 10 units.The graph of f(x) = x2 is reflected over the x-axis.

A
The graph of f(x) = x2 is shifted down 50 units.
B
The graph of f(x) = x2 is shifted up 50 units.
C
The graph of f(x) = x2 is shifted left 10 units.
D
The graph of f(x) = x2 is shifted right 10 units.
E
The graph of f(x) = x2 is reflected over the x-axis.
9

Which function has a minimum and is transformed to the right and down from the parent function, f(x) = x2?

A
g(x) = –9(x + 1)2 – 7
B
g(x) = 4(x – 3)2 + 1
C
g(x) = –3(x – 4)2 – 6
D
g(x) = 8(x – 3)2 – 5
10

What is f(x) = 2x2 + 28x – 5 written in vertex form?

A
f(x) = 2(x + 7)2 – 19
B
f(x) = 2(x + 7)2 – 103
C
f(x) = 2(x + 14)2 – 14
D
f(x) = 2(x + 14)2 – 98

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