Key Features of Quadratic Functions

Front

Define Roots

Back

Where the parabola touches or intersects the x-axis, also called the x-intercept.

Tags

CCSS.HSF-IF.C.7A

Front

Define Maximum

Back

The highest y-value on the graph.

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Front

What is the vertex?

Back

The vertex is the point on the graph where the parabola changes direction, represented as (h, k). For example, (0, 18) is a vertex.

Front

Which statement about the graph is FALSE?

Back

The axis of symmetry is y = -3.

Tags

CCSS.HSF-IF.C.7A

Front

Define Solution

Back

Where the parabola touches or intersects the x-axis, also called the x-intercept.

Tags

CCSS.HSF-IF.C.7A

Front

What is a Parabola?

Back

A parabola is a U-shaped graph that represents a quadratic function.

Tags

CCSS.HSF-IF.C.7A

Front

What is the Axis of Symmetry?

Back

A vertical line that divides the parabola into two mirror-image halves, given by the equation x = h.

Front

What does the 'a' in the quadratic equation y = ax^2 + bx + c represent?

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and its width.

Tags

CCSS.HSF-IF.C.7A

Front

What is the y-intercept?

Back

The point where the parabola intersects the y-axis, found by setting x = 0 in the equation.

Tags

CCSS.HSF-IF.C.7A

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax^2 + bx + c.