Transformation of Functions

Front

What determines the amount of stretch in a function?

Back

The value of the constant multiplied by the function.

Front

Translate the point (3, -2) 5 units left and 6 units up. What are the new coordinates?

Back

(-2, 4)

Front

Which equation represents a transformation that moves a function right by 7 units?

Back

D

Front

Describe the transformations from the original parent function f(x) = x² to g(x) = 5x² + 2.

Back

Vertical Stretch of 5, Up 2.

Front

What transformation occurs in s(x) = 7f(x)?

Back

Vertical stretch.

Front

What is a vertical stretch in the context of function transformations?

Back

A transformation that increases the distance between points on the graph and the x-axis.

Front

What is a vertical compression in function transformations?

Back

A transformation that decreases the distance between points on the graph and the x-axis.

Front

How does a horizontal translation affect the graph of a function?

Back

It shifts the graph left or right without changing its shape.

Front

What is the effect of a negative constant multiplied by a function?

Back

It reflects the graph across the x-axis.

Front

If f(x) = x², what is the transformation for f(x) = (x - 3)²?

Back

The graph is shifted 3 units to the right.