Solve Quadratics by Factor & Graph & Square Roots

Front

What is a quadratic equation?

Back

Front

What does it mean to solve a quadratic equation by factoring?

Back

Front

What is the Zero-Product Property?

Back

Front

How do you find the roots of a quadratic equation?

Back

The roots of a quadratic equation can be found by factoring the equation, using the quadratic formula, or completing the square.

Front

What is the quadratic formula?

Back

Front

What are the steps to solve a quadratic equation by factoring?

Back

1. Write the equation in standard form. 2. Factor the quadratic expression. 3. Set each factor equal to zero. 4. Solve for x.

Front

What is the significance of the discriminant in a quadratic equation?

Back

Front

What does it mean for a quadratic function to have a vertex?

Back

The vertex of a quadratic function is the highest or lowest point on its graph, depending on whether it opens upwards or downwards.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

How do you graph a quadratic function?

Back

To graph a quadratic function, identify the vertex, axis of symmetry, and intercepts, then plot points and draw a smooth curve.