Key Features of a Quadratic Function

What do we call the highest or lowest point of a quadratic?

• parabola

• vertex

• graph

• point

Define Minimum

• The highest y-value on the graph

• Where the parabola touches or intersects the y-axis

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

• The lowest y-value on the graph

What is the vertex?

• (-3, 0)

• (3, 0)

• (0, 18)

• (18, 0)

Adam graphs a quadratic function. The vertex of the parabola he graphs is located at (5, 0). Which of the following is the axis of symmetry

• x = -5

• x = 0

• x = 5

• x = y

Match the graph with its function.

Answer explanation

The graph in the picture is wider than the parent function, therefore 1 > |a| > 0 . It is also open upwards, therefore a > 0.

Match the graph with its function.

Answer explanation

The graph in the picture is more narrow than the parent function, therefore |a| > 0 . It is also open downward, therefore a < 0.

Match the graph with its function.

Answer explanation

The graph in the picture is more narrow than the parent function, therefore |a| > 0 . It is also open upward, therefore a > 0.

Match the graph with its function.

Answer explanation

The graph in the picture is the same width of the parent function, therefore |a| = 1 . It is also open downward, therefore a > 0.

Define Zero

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

• A line that divides the graph into two equal parts. i.e. cuts the graph in half

• The highest or lowest point on the graph

• Where the parabola touches or intersects the y-axis

Define X-intercept

• The highest or lowest point on the graph

• Where the parabola touches or intersects the x-axis

• Where the parabola touches or intersects the y-axis

• A line that divides the graph into two equal parts. i.e. cuts the graph in half