Module 2 Topic 2 Test (Transformations)

Front

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

Back

Vertical stretch by a factor of 2.

Front

What does the equation g(c) = 64.95c + 12 represent in terms of transformations?

Back

It represents a linear function with a slope of 64.95 and a y-intercept of 12.

Front

What transformation is represented by g(x) = -f(x)?

Back

Reflection across the x-axis.

Front

How does the equation y = f(x + 7) shift the graph of the parent function?

Back

It shifts the graph left by 7 units.

Front

What is the transformation represented by g(x) = (1/4)f(x)?

Back

Vertical compression by a factor of 1/4.

Front

What is the effect of replacing f(x) with f(x - 3)?

Back

It shifts the graph of f(x) to the right by 3 units.

Front

What does a negative coefficient in front of f(x) indicate about the transformation?

Back

It indicates a reflection across the x-axis.

Front

If g(x) = f(x) + 5, how does this affect the graph of f(x)?

Back

It shifts the graph of f(x) up by 5 units.

Front

What transformation occurs when the function is written as g(x) = f(-x)?

Back

It reflects the graph of f(x) across the y-axis.

Front

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

Back

It moves the graph up or down without changing its shape.