Mastering Quadratic Functions

Front

Completing the Square

Back

A method to solve quadratic equations by turning them into perfect square trinomials.

Front

Step 1 of Completing the Square

Back

Move the constant term to the other side of the equation.

Front

Step 2 of Completing the Square

Back

Divide the coefficient of x by 2 and square it.

Front

Step 3 of Completing the Square

Back

Add the squared value to both sides of the equation.

Front

Step 4 of Completing the Square

Back

Factor the left side as a perfect square trinomial.

Front

Step 5 of Completing the Square

Back

Solve for x by taking the square root of both sides.

Front

Square Root Function

Back

A function that maps a number to its non-negative square root.

Front

Example of Square Root Function

Back

√16 = 4

Front

Example of Square Root Function

Back

√25 = 5

Front

Perfect Square Trinomial

Back

A trinomial of the form (ax + b)² = a²x² + 2abx + b².