Completing the Square

Question 1

Which function in vertex form is equivalent to f(x) = x2 + 8 – 16x?

Revolt · Accepted Answer

f(x) = (x – 8)2 – 56

Question 2

What value for c will make the expression a perfect square trinomial? x2 – 7x + c

Revolt · Accepted Answer

StartFraction 49 Over 4 EndFraction

Question 3

Which function in vertex form is equivalent to f(x) = x2 + 6x + 3?

Revolt · Accepted Answer

f(x) = (x + 3)2 − 6

Question 4

The vertex form of a function is g(x) = (x – 3)2 + 9. How does the graph of g(x) compare to the graph of the function f(x) = x2?

Revolt · Accepted Answer

g(x) is shifted 3 units right and 9 units up.

Question 5

Which values for h and k are used to write the function in vertex form?

Revolt · Accepted Answer

h=−6, k=−30

Question 6

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = –8x + x2 + 7 ?

Revolt · Accepted Answer

right 4, down 9

Question 7

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?

Revolt · Accepted Answer

left 1 unit

Question 8

What are the coordinates of the vertex of the function f(x)=x2+10x−3?

Revolt · Accepted Answer

(–5, –28)

Question 9

Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options.The vertex form of the function is f(x) = (x – 2)2 + 2.The vertex of the function is (–3, –13).The axis of symmetry for the function is x = 3.The graph increases over the interval (–3, ).The function does not cross the x-axis.

Revolt · Accepted Answer

The vertex of the function is (–3, –13).; The graph increases over the interval (–3, ).

Question 10

What are the coordinates of the vertex of the function f(x) = x2 − 12x + 5?

Revolt · Accepted Answer

(6, −31)

Completing the Square Answers

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