Quadratic Functions Vocabulary

Front

What is a quadratic function?

Back

A polynomial function of degree 2, typically in the form y = ax² + bx + c, where a, b, and c are constants.

Front

What does the graph of a quadratic function look like?

Back

A parabola, which can open upwards or downwards depending on the sign of the coefficient 'a'.

Tags

CCSS.HSF-IF.C.7A

Front

What is the vertex of a quadratic function?

Back

The highest or lowest point on the graph of the parabola, depending on whether it opens down or up.

Front

What is the axis of symmetry in a quadratic function?

Back

A vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).

Front

What is the standard form of a quadratic function?

Back

y = ax² + bx + c, where a, b, and c are constants.

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)² + k, where (h, k) is the vertex of the parabola.

Front

What is the factored form of a quadratic function?

Back

y = a(x - r₁)(x - r₂), where r₁ and r₂ are the roots of the quadratic.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Front

What is the discriminant in a quadratic equation?

Back

The value calculated from b² - 4ac that determines the nature of the roots of the quadratic equation.

Tags

CCSS.HSA-REI.B.4B

Front

What does a positive discriminant indicate?

Back

Two distinct real roots for the quadratic equation.

Tags

CCSS.HSA-REI.B.4B

Front

What does a zero discriminant indicate?

Back

One real root (a repeated root) for the quadratic equation.

Tags

CCSS.HSA-REI.B.4B