Transformations of Graphs

Front

What is the parent function of a quadratic graph?

Back

The parent function of a quadratic graph is f(x) = x².

Front

What is the parent function of a linear graph?

Back

The parent function of a linear graph is f(x) = x.

Front

What transformation occurs when a graph is reflected over the x-axis?

Back

The graph is flipped vertically.

Front

What is the equation of the parent absolute value function?

Back

The equation of the parent absolute value function is f(x) = |x|.

Front

What transformation is represented by the equation y = (x + 2)²?

Back

The transformation is a horizontal shift 2 units to the left.

Front

What is the effect of a vertical stretch on a graph?

Back

A vertical stretch makes the graph taller and narrower.

Front

What is the parent function of a cubic graph?

Back

The parent function of a cubic graph is f(x) = x³.

Front

How does a horizontal compression affect a graph?

Back

A horizontal compression makes the graph wider.

Front

What transformation is applied when the equation is y = -f(x)?

Back

The transformation is a reflection over the x-axis.

Front

What is the parent function of a square root graph?

Back

The parent function of a square root graph is f(x) = √x.