Completing the Square

Question 1

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

Revolt · Accepted Answer

Answer image: https://media.edgenuity.com/evresources/c7f126f87586cdb541123cf248ab8562.png

Question 2

Charla wants to determine the vertex of the function f(x) = x2 – 18x + 60 by changing the function into vertex form. Which statement about the vertex of the function is true?

Revolt · Accepted Answer

The x-coordinate of the vertex is greater than the y-coordinate.

Question 3

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

Revolt · Accepted Answer

h=−6, k=−30

Question 4

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

Revolt · Accepted Answer

(–5, –28)

Question 5

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 6

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 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

Question 9

Revolt · Accepted Answer

16

Completing the Square Answers

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