2.5 Pre-calc. Transformations of Functions Review

Front

Describe the transformation of y = f(x) for the new function f(x) = ⅔(x - 7)².

Back

Shrink of ⅔, Right 7.

Front

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

Back

Right 3 and up 5.

Front

What are the transformations of the function compared to the parent function y = √(x)?

Back

Reflected over the x-axis, vertical stretch, and shifted right 5.

Front

What are the transformations to the graph compared to the parent function y=√(x)?

Back

Shifted right 2, shifted up 3, and reflected over the x-axis.

Front

Describe the transformation of y = f(x) to the new function y = f(1/5x).

Back

Horizontal stretch by a factor of 5.

Front

What does a vertical stretch by a factor of k do to the function y = f(x)?

Back

It multiplies the output of the function by k, making the graph taller.

Front

What is the effect of a horizontal shift to the right on the function y = f(x)?

Back

The graph moves right by the specified number of units.

Front

How does a reflection over the x-axis affect the function y = f(x)?

Back

It flips the graph upside down.

Front

What is the transformation of y = f(x + 4)?

Back

Shifted left 4 units.

Front

What does the transformation y = -f(x) indicate?

Back

Reflection over the x-axis.