Lesson 3: Completing the Square Answers

Which statements are true about the graph of the function f(x) = 6x – 4 + x2? Select two options.The vertex form of the function is f(x) = (x – 2)2 + 2.The vertex of the function is (–3, –13).The axis of symmetry for the function is x = 3.The graph increases over the interval (–3, ).The function does not cross the x-axis.

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

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

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.

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

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?

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

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