Graph Transformations Flashcard

Front

What is the effect of a negative sign in front of a quadratic function?

Back

It reflects the graph over the x-axis.

Front

What does the transformation (x - h) in a function represent?

Back

A horizontal shift to the right by h units.

Front

What does the transformation (x + h) in a function represent?

Back

A horizontal shift to the left by h units.

Front

What does the transformation (y - k) in a function represent?

Back

A vertical shift down by k units.

Front

What does the transformation (y + k) in a function represent?

Back

A vertical shift up by k units.

Front

Back

Reflection over the x-axis, right 2 units, and up 3 units.

Front

Back

The vertex is at the point (h, k).

Front

What is the effect of a vertical stretch or compression on a quadratic function?

Back

It changes the width of the parabola; a value greater than 1 stretches it, while a value between 0 and 1 compresses it.

Front

What is the parent function of a square root function?

Back

Front

Back

It shifts the graph left 4 units and down 5 units.