Completing the Square

Question 1

An algebra tile configuration. Only the Product spot is shown. 8 tiles are in the Product spot in 4 columns with 4 rows. First row: 1 + x squared, 3 negative x. Second row: 1 negative x, 1 +. Third and fourth rows: 1 negative x.

Revolt · Accepted Answer

8

Question 2

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 3

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

Revolt · Accepted Answer

StartFraction 49 Over 4 EndFraction

Question 4

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 5

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

Revolt · Accepted Answer

(–5, –28)

Question 6

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

Revolt · Accepted Answer

h=−6, k=−30

Question 7

An algebra tile configuration. Only the Product spot is shown. 9 tiles are in the Product spot in 5 columns with 5 rows. First row: 1 + x squared, 4 + x. Below the + x squared tile are 4 +x tiles.

Revolt · Accepted Answer

16

Question 8

Which function in vertex form is equivalent to f(x) = 4 + x2 – 2x?

Revolt · Accepted Answer

f(x) = (x – 1)2 + 3

Question 9

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 10

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

Revolt · Accepted Answer

f(x) = (x + 3)2 − 6

Completing the Square Answers

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