MathScore Practice: Completing the Square for the Vertex

Description: Complete the square for a quadratic equation to reveal the vertex coordinates (h, k).

Adaptive Learning Progression: The equations become tougher.

Sample Levels (out of 3)

150	0% Mastery

Complete the square for each equation and enter the vertex "(h, k)". It is possible that the equation is already in that form. Example:
"y = 3x² + 12x + 7" becomes "y = 3(x + 2)² - 5", with vertex (-2, -5).

1.	y = x² + 15 y = vertex =
2.	y = 4x² + 17 y = vertex =
3.	y = 4x² + 16 y = vertex =

300	100% Mastery

1.	y = 2x² + ^-16x + 38 y = vertex =
2.	y = 2x² + ^-16x + 33 y = vertex =
3.	y = x² + ^-6x + 23 y = vertex =

Math Practice Topic: Completing the Square for the Vertex

Sample Levels (out of 3)