Quadratic Transformations

Front

What is the vertex form of a quadratic function?

Back

Front

What effect does changing the 'a' value in the vertex form have?

Back

Changing the 'a' value affects the vertical stretch or compression of the parabola. If |a| > 1, the graph stretches; if 0 < |a| < 1, it compresses.

Front

What does the 'h' value represent in the vertex form?

Back

The 'h' value represents a horizontal shift of the graph. If h is positive, the graph shifts to the right; if negative, it shifts to the left.

Front

What does the 'k' value represent in the vertex form?

Back

The 'k' value represents a vertical shift of the graph. If k is positive, the graph shifts up; if negative, it shifts down.

Front

Back

Front

Back

Front

What is the effect of reflecting a quadratic function over the x-axis?

Back

Reflecting a quadratic function over the x-axis changes the sign of the 'a' value in the vertex form, resulting in a downward-opening parabola.

Front

Back

Front

What does a vertical compression by a factor of 2 mean for the function?

Back

A vertical compression by a factor of 2 means that the output values of the function are halved, making the graph wider.

Front

What does a vertical stretch by a factor of 2 mean for the function?

Back

A vertical stretch by a factor of 2 means that the output values of the function are doubled, making the graph narrower.