Complete the Square Practice

Front

Find the missing value 'c' to create a perfect square trinomial: x² - 8x + ___

Back

16

Front

Complete the square for x² - 14x + ____ (find the missing value that goes in the blank)

Back

49

Front

What do you do to the b value to correctly complete the square?

Back

Divide it by 2 and square the result.

Front

Given the perfect square trinomial, identify the equivalent expression: x² - 18x + 81

Back

(x - 9)²

Front

What is a possible equation, in factored form, for this graph? y= (x -3)(x+1) or y= (x +3)(x+1) or y= (x -3)(x-1) or y= (x +3)(x11)

Back

y= (x +3)(x11)

Front

What is a perfect square trinomial?

Back

A trinomial that can be expressed as the square of a binomial.

Front

How do you find the value of 'c' in a perfect square trinomial?

Back

Take half of the coefficient of x, square it, and add it to the expression.

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does completing the square help to find?

Back

The vertex of a parabola and the roots of a quadratic equation.

Front

What is the vertex form of a quadratic equation?

Back

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