Transformations of Parent Graphs

Front

What is the parent function of absolute value?

Back

The parent function of absolute value is y = |x|.

Front

Which parent function is represented by the equation y = x²?

Back

The parent function represented by the equation y = x² is the quadratic function.

Front

What does it mean when a graph is shifted right 1 unit and up 5 units?

Back

It means that every point on the graph moves 1 unit to the right and 5 units up.

Front

Describe the transformation of g(x) = f(x - 4) + 6 in relation to f(x).

Back

f(x) has been translated to the right four units and up six units.

Front

Which equation represents an absolute value graph shifted right 5 units?

Back

The equation is y = |x - 5|.

Front

What is a transformation in graphing?

Back

A transformation is a change made to a graph that alters its position, size, or shape.

Front

What happens to the graph of y = |x| when it is reflected over the x-axis?

Back

The graph becomes y = -|x|.

Front

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

Back

A vertical stretch makes the graph taller and narrower.

Front

What does the equation y = |x + 3| represent?

Back

It represents the absolute value function shifted left 3 units.

Front

How does the graph of y = x³ differ from y = x²?

Back

y = x³ is a cubic function and has a different shape, showing symmetry about the origin.