Completing the Square Answers

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

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 ?

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

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?

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?

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.

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

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.

Which statements are true about the graph of the function f(x) = x2 – 8x + 5? Select three options.The function in vertex form is f(x) = (x – 4)2 – 11.The vertex of the function is (–8, 5).The axis of symmetry is x = 5.The y-intercept of the function is (0, 5).The function crosses the x-axis twice.

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