Completing the Square Practice

Front

Complete the Square: x^2 - 10x + ____

Back

x^2 - 10x + 25

Front

Complete the square for: x^2 + 12x + ____ (find the missing number in the blank)

Back

x^2 + 12x + 36

Front

Given the perfect square trinomial, identify the equivalent expression: x^2 + 14x + 49

Back

(x + 7)^2

Front

What is the vertex of the parabola: y = 2(x - 3)^2 + 4?

Back

(3, 4)

Front

Given the perfect square trinomial, identify the equivalent expression: x^2 - 18x + 81

Back

(x - 9)^2

Front

Definition: Completing the Square

Back

A method used to convert a quadratic equation into a perfect square trinomial.

Front

Formula for Completing the Square: x^2 + bx

Back

(x + b/2)^2 - (b/2)^2

Front

Identify the vertex from the standard form: y = a(x - h)^2 + k

Back

Vertex is (h, k).

Front

What is a perfect square trinomial?

Back

An expression of the form (a + b)^2 = a^2 + 2ab + b^2.

Front

Example of Completing the Square: x^2 + 6x

Back

x^2 + 6x + 9 = (x + 3)^2.