Write in Vertex Form by Completing the Square

Learn to write quadratic functions in vertex form by completing the square! Practice problems included.

1. What is the vertex? a(x) = (x - 5)2 - 6 (-5, -6) (0,0) (5, -6) (-5, 6) 2. What is the vertex? b(x) = (x + 7)2 - 2 (7, -2) (7, 2) (-7, 2) (-7, -2) 5. Write the quadratic in vertex form. Choose answers from the number bank below.Note: When it says x^2 that means x2. f(x) = x^2 + 8x - 5 x^2 + 8x = 5 x^2 + 8x + 16 = 5 + 16 (x + 4)(x + 4) = 21 (x + 4)^2 = 21 f(x) = (x + 4)^2 - 21 6. Write the quadratic in vertex form. g(x) = x^2 + 6x + 5 x^2 + 6x = -5 x^2 + 6x + 9= -5 + 9 (x + 3)(x + 3) = 4 (x + 3)^2 = 4 g(x) = (x + 3)^2 -4 7. In the process of writing the quadratic in vertex form, fill in the blanks for the step shown. k(x) = x^2 - 10x + 4 x^2 - 10x + 25 = -4 + 25 8. Write the quadratic in vertex form. Show your work in the box below! t(x) = x2 - 12x - 3