A.7A Quadratic Key Features

Front

What is the significance of the ordered pair (0, -2) to the graph?

Back

It is the y-intercept.

Front

What is the vertex of the graph for the function y = (x - 3)² - 1?

Back

(3, -1)

Front

What does the vertex of a quadratic function represent?

Back

The highest or lowest point on the graph, depending on whether it 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.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set the function equal to zero and solve for x.

Front

What is the general form of a quadratic function?

Back

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

Front

What does the coefficient 'a' in a quadratic function determine?

Back

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

Front

What is a maximum point in a quadratic function?

Back

The highest point on the graph of a downward-opening parabola.

Front

What is a minimum point in a quadratic function?

Back

The lowest point on the graph of an upward-opening parabola.

Front

How can you determine if a vertex is a maximum or minimum?

Back

By looking at the sign of the coefficient 'a' in the quadratic equation.