Completing the Square — Quiz

Question 1

The vertex form of a function is g of x is equal to open paren x minus 3 close paren squared plus 9 How does the graph of g of x compare to the graph of the function f of x is equal to x squared ?

Revolt · Accepted Answer

g of x is shifted 3 units right and 9 units up.

Question 2

Which statements are true about the graph of the function f of x is equal to x squared minus 8 x plus 5 ? Choose three correct answers.

Revolt · Accepted Answer

The y -intercept of the function is 0 comma 5 .; The function in vertex form is f of x is equal to open paren x minus 4 close paren squared minus 11 .; The function crosses the x -axis twice.

Question 3

Which values for h and k are used to write the function f of x is equal to x squared plus 12 x plus 6 in vertex form?

Revolt · Accepted Answer

h is equal to negative 6 comma k is equal to negative 30

Question 4

Which function in vertex form is equivalent to f of x is equal to 4 plus x squared minus 2 x ?

Revolt · Accepted Answer

f of x is equal to open paren x minus 1 close paren squared plus 3

Question 5

Which function in vertex form is equivalent to f of x is equal to x squared plus 8 minus 16 x ?

Revolt · Accepted Answer

f of x is equal to open paren x minus 8 close paren squared minus 56

Question 6

What are the coordinates of the vertex of the function f of x is equal to x squared plus 10 x minus 3 ?

Revolt · Accepted Answer

5 comma negative 28; negative 5 comma negative 28

Question 7

Which function in vertex form is equivalent to f of x is equal to x squared plus 6 x plus 3 ?

Revolt · Accepted Answer

f of x is equal to open paren x plus 3 close paren squared minus 6

Question 8

Charla wants to determine the vertex of the function f of x is equal to x squared minus 18 x plus 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 9

What value for c will make the expression a perfect square trinomial? x squared minus 7 x plus c

Revolt · Accepted Answer

49 fourths

Question 10

Which statements are true about the graph of the function f of x is equal to 6 x minus 4 plus x squared ? Choose two correct answers.

Revolt · Accepted Answer

The vertex of the function is negative 3 comma negative 13 .; The graph increases over the interval negative 3 comma infinity .

Completing the Square — Quiz Answers

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