Linear and Quadratic Transformations

Front

What is the parent function of a quadratic equation?

Back

Front

Back

It shifts the graph down four units.

Front

Back

Front

Describe the transformation from a dotted graph to a solid graph if it moves left 5 units and up 3 units.

Back

The transformation is left 5 units and up 3 units.

Front

Back

It is stretched vertically and reflected over the x-axis.

Front

What is a linear transformation?

Back

A linear transformation is a function that maps a vector space to another vector space, preserving the operations of vector addition and scalar multiplication.

Front

What does a vertical stretch do to the graph of a function?

Back

A vertical stretch increases the distance of points from the x-axis, making the graph taller.

Front

What is the effect of a horizontal shift on the graph of a function?

Back

A horizontal shift moves the graph left or right along the x-axis.

Front

What does it mean to reflect a graph over the x-axis?

Back

Reflecting a graph over the x-axis means that for every point (x, y) on the graph, the point (x, -y) will also be on the graph.

Front

What is the parent function of a linear equation?

Back