Completing the Square (Continued)

Question 1

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

Revolt · Accepted Answer

(3, –7)

Question 2

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

Revolt · Accepted Answer

(2, −5)

Question 3

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 4

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 5

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 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?

Revolt · Accepted Answer

shifted right 7 units

Question 7

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

Revolt · Accepted Answer

f(x) = 8 –

Question 8

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 9

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

Revolt · Accepted Answer

x = −4

Question 10

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.

Revolt · Accepted Answer

The vertex of the graph is (5, –37).; The parabola has a minimum.; The parabola opens up.

Completing the Square (Continued) Answers

More from this Course

TRY EDGENUITY HACKS