Labeling Quadratic Graphs

Front

What is the graph of a quadratic function called?

Back

Parabola

Front

What is the vertex of a parabola?

Back

The highest or lowest point of a parabola.

Front

What is the Axis of Symmetry in a parabola?

Back

A vertical line that divides the parabola into two mirror-image halves.

Front

How do you determine if a parabola opens upwards or downwards?

Back

If the coefficient of the x^2 term is positive, it opens upwards; if negative, it opens downwards.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the 'a' value in the quadratic function affect?

Back

It affects the width and direction of the parabola.

Front

What is the significance of the 'b' value in a quadratic function?

Back

It affects the position of the vertex along the x-axis.

Front

What does the 'c' value represent in the quadratic function?

Back

It represents the y-intercept of the graph.

Front

How can you find the vertex of a parabola given in standard form?

Back

Use the formula x = -b/(2a) to find the x-coordinate, then substitute back to find the y-coordinate.

Front

What is the maximum or minimum value of a quadratic function?

Back

It is the y-coordinate of the vertex; maximum if the parabola opens downwards, minimum if it opens upwards.