Key Features of Quadratic Functions

Front

Define Minimum

Back

The lowest y-value on the graph.

Front

What is the significance of the ordered pair (2, -4) to the graph?

Back

It is the vertex.

Front

Find the increasing interval for the quadratic function.

Back

x < -1.

Front

Define Maximum

Back

The highest y-value on the graph.

Front

Define Vertex

Back

The highest or lowest point on the graph.

Front

What is a Quadratic Function?

Back

A function that can be expressed in the form f(x) = 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

It is a parabola that opens upwards or downwards.

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 are x-intercepts?

Back

Points where the graph intersects the x-axis, found by setting f(x) = 0.

Front

What is the y-intercept of a quadratic function?

Back

The point where the graph intersects the y-axis, found by evaluating f(0).