Completing the Square

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

A. f(x) = (x - 1)2 + 3

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

A. f(x) = (x - 8)2 - 56

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

B. f(x) = (x + 3)2 − 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?

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

Which function in vertex form is equivalent to f(x) = x2 + x +1?

C. f(x) = +

How many zero pairs must be added to the function f(x) = x2 - 6x + 1 in order to begin writing the function in vertex form?

3

Which value is needed to create a perfect square trinomial from the expression x2 + 8x + _____?

4

The function f(x) = x2 + 10x - 3 written in vertex form is f(x) = (x + 5)2 - 28. What are the coordinates of the vertex?

A. (-5, -28)

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?

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

Which statements are true about the graph of the function f(x) = 6x - 4 + x2? Check all that apply.

The vertex of the function is (-3, -13). (2nd) The graph increases over the interval (-3, ). (4th)