Quadratic function Review

Front

What is a quadratic function?

Back

A quadratic function is a type of polynomial function that can be expressed in the form y = ax² + bx + c, where a, b, and c are constants and a ≠ 0.

Front

What does the graph of a quadratic function look like?

Back

The graph of a quadratic function is a parabola, which can open upwards or downwards.

Tags

CCSS.HSF-IF.C.7A

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves. It can be found using the formula x = -b/(2a).

Front

What does it mean when a parabola opens upwards?

Back

A parabola opens upwards when the coefficient 'a' in the quadratic function y = ax² + bx + c is positive.

Tags

CCSS.HSF-IF.C.7A

Front

What does it mean when a parabola opens downwards?

Back

A parabola opens downwards when the coefficient 'a' in the quadratic function y = ax² + bx + c is negative.

Tags

CCSS.HSF-IF.C.7A

Front

What is the vertex of a parabola?

Back

The vertex is the highest or lowest point of the parabola, depending on whether it opens upwards or downwards.

Front

How do you find the vertex of a quadratic function?

Back

The vertex can be found using the formula (h, k), where h = -b/(2a) and k is the value of the function at x = h.

Front

What is the maximum value of a quadratic function?

Back

The maximum value occurs at the vertex of the parabola when it opens downwards.

Front

What is the minimum value of a quadratic function?

Back

The minimum value occurs at the vertex of the parabola when it opens upwards.

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is used to find the solutions of a quadratic equation and is given by x = (-b ± √(b² - 4ac)) / (2a).

Tags

CCSS.HSA-REI.B.4B