Transformation of graphs HW

Front

How does the equation y = f(x - 4) transform the parent function?

Back

Shift right by 4.

Front

What transformation occurs in g(x) = 2f(x)?

Back

Vertical stretch.

Front

Identify the transformations in y = (x - 2)^3 + 4.

Back

Horizontal shift right 2 & vertical shift up 4.

Front

What causes the graph of y = x^2 to open downward?

Back

Multiply the x^2 by a negative number.

Front

What transformation occurs when f(x) = x is replaced with 2f(x)?

Back

Vertical stretch by a factor of 2.

Front

What is a vertical stretch?

Back

A transformation that increases the distance between points on the graph vertically.

Front

What is a vertical compression?

Back

A transformation that decreases the distance between points on the graph vertically.

Front

What does a horizontal shift to the right mean?

Back

The graph moves to the right along the x-axis.

Front

What does a horizontal shift to the left mean?

Back

The graph moves to the left along the x-axis.

Front

How does multiplying a function by a negative number affect its graph?

Back

It reflects the graph across the x-axis.