Key Features of Quadratic Functions

Front

Define Roots

Back

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

Front

Define Maximum

Back

The highest y-value on the graph.

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.

Front

Define Solution

Back

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

Front

What is a Parabola?

Back

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

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.

Front

What is the y-intercept?

Back

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

Front

What is the standard form of a quadratic function?

Back

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