Completing the Square (Continued)

Question 1

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?

Revolt · Accepted Answer

The graph of f(x) = x2 is made narrower.

Question 2

What is the vertex of g(x) = 3x2 − 12x + 7?

Revolt · Accepted Answer

(2, −5)

Question 3

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

Revolt · Accepted Answer

f(x) = 2(x + 7)2 – 103

Question 4

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

Revolt · Accepted Answer

f(x) = 8 –

Question 5

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

Revolt · Accepted Answer

The vertex is at (2, 8) and the axis of symmetry is x = 2.

Question 6

What is the first step in writing f(x) = 6x2 + 5 – 42x in vertex form?

Revolt · Accepted Answer

Write the function in standard form.

Question 7

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

Revolt · Accepted Answer

shifted right 7 units

Question 8

The first steps in writing f(x) = 3x2 – 24x + 10 in vertex form are shown.f(x) = 3(x2 – 8x) + 10 = 16

Revolt · Accepted Answer

f(x) = 3(x – 4)2 – 38

Question 9

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.

Revolt · Accepted Answer

The graph of f(x) = x2 is shifted up 50 units.; The graph of f(x) = x2 is shifted right 10 units.; The graph of f(x) = x2 is reflected over the x-axis.

Question 10

What is the vertex of g(x) = 8x2 – 64x?

Revolt · Accepted Answer

(4, –128)

Completing the Square (Continued) Answers

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