Lesson 8.5: Completing the Square Answers

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

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

An algebra tile configuration. Only the Product spot is shown. 15 tiles are in the Product spot in 6 columns with 6 rows. First row: 1 + x squared, 5 negative x. Below the + x squared tile are 5 negative x tiles. Off to the right are 4 negative tiles in a separate column.

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

Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Select three options.

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 ?

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.

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.

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

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