Solving Quadratic Equations

Front

What is a quadratic equation?

Back

Front

What are the zeros of a quadratic function?

Back

The zeros of a quadratic function are the values of x that make the function equal to zero. They are the x-intercepts of the graph.

Tags

CCSS.HSF-IF.C.7C

Front

How do you solve a quadratic equation by factoring?

Back

Tags

CCSS.HSA-REI.B.4B

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the graph of a quadratic function, located at the point where the axis of symmetry intersects the graph.

Front

What is the axis of symmetry in a quadratic function?

Back

Front

What is the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if the discriminant is positive?

Back

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if the discriminant is zero?

Back

If the discriminant is zero, the quadratic equation has exactly one real solution, also known as a repeated or double root.

Tags

CCSS.HSA-REI.B.4B

Front

What does it mean if the discriminant is negative?

Back

If the discriminant is negative, the quadratic equation has no real solutions, but two complex solutions.

Tags

CCSS.HSA-REI.B.4B

Front

How can you identify a quadratic function from its graph?

Back

A quadratic function's graph is a parabola, which can open upwards or downwards, and has a vertex and an axis of symmetry.