Completing the Square

Front

Complete the square for x^2 - 14x + ____

Back

49

Front

When factoring x^2 - 4x + 4 = 20, what goes in the blank? (x - __ )^2 = 20

Back

2

Front

Complete the square for x^2 + 6x + ____

Back

9

Front

Complete the square for x^2 - 10x + ____

Back

25

Front

Complete the square for x^2 + 12x + ____

Back

36

Front

What is the formula for completing the square?

Back

(x + b/2)^2 - (b/2)^2, where b is the coefficient of x.

Front

What does completing the square help to find?

Back

The vertex of a quadratic function.

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)^2 + k, where (h, k) is the vertex.

Front

How do you find the value to complete the square for x^2 + bx?

Back

Take (b/2)^2.

Front

What is the completed square form of x^2 - 8x?

Back

(x - 4)^2 - 16.