Completing the Square (Continued)

Question 1

Which statement is true concerning the vertex and the axis of symmetry of g(x)=5x2−10x?

Revolt · Accepted Answer

The function written in vertex form is g(x)=5(x−1)2−5. The vertex is at (1, –5) and the axis of symmetry is x=1.

Question 2

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

Revolt · Accepted Answer

f(x) = 2(x + 7)2 – 103

Question 3

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

Revolt · Accepted Answer

(4, –128)

Question 4

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 5

What is the vertex of g(x) = 8x2 – 48x + 65?

Revolt · Accepted Answer

(3, –7)

Question 6

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

Revolt · Accepted Answer

f(x) = 8 –

Question 7

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

Revolt · Accepted Answer

g(x) = 8(x – 3)2 – 5

Question 8

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 9

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

Completing the Square (Continued) Answers