Solve Quadratics: Factoring, Graphing, and Square Roots

Front

What is the standard form of a quadratic equation?

Back

Ax² + Bx + C = 0

Front

What is the graph of a quadratic function called?

Back

Parabola

Front

What are the zeros of a quadratic function?

Back

The values of x where the function equals zero.

Front

Solve: 2(2x - 4)² = 32

Back

x = 0, 4

Front

Find the factors of 4x² - 16x - 9.

Back

(2x - 9)(2x + 1)

Front

What does it mean to factor a quadratic equation?

Back

To express it as a product of its linear factors.

Front

What is the vertex of a parabola?

Back

The highest or lowest point on the graph of a quadratic function.

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror images.

Front

How do you find the vertex from the standard form of a quadratic equation?

Back

Use the formula x = -B/(2A) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the quadratic formula?

Back

x = (-B ± √(B² - 4AC)) / (2A)