Math Practice Topic: 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)

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 = 3x 2 + 19
y =
vertex =
2.
y = 5x 2 + 15
y =
vertex =
3.
y = 5x 2 + 18
y =
vertex =

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 = 4x 2 + - 8x + 10
y =
vertex =
2.
y = 4x 2 + - 32x + 80
y =
vertex =
3.
y = 4x 2 + - 24x + 53
y =
vertex =

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