M3 Transformations Review

Front

What is the transformation of the function f(x) = x^3 when it is shifted two units to the right?

Back

The equation becomes y = (x - 2)^3.

Front

How does the function f(x) = x^3 change when it is shifted four units down?

Back

The equation becomes y = x^3 - 4.

Front

What is the equation of the graph that represents the transformation y = (x + 2)^2 - 3?

Back

This represents a parabola shifted left 2 units and down 3 units.

Front

What is the transformation of the function f(x) = x^3 when it is shifted seven units up?

Back

The equation becomes y = x^3 + 7.

Front

How does the function f(x) = x^3 change when it is shifted three units to the left?

Back

The equation becomes y = (x + 3)^3.

Front

What is the effect of adding a positive constant to the function f(x)?

Back

It shifts the graph upward by that constant value.

Front

What is the effect of subtracting a positive constant from the function f(x)?

Back

It shifts the graph downward by that constant value.

Front

What happens to the graph of f(x) when it is transformed to f(x + c)?

Back

The graph shifts to the left by c units if c is positive and to the right if c is negative.

Front

What happens to the graph of f(x) when it is transformed to f(x) + c?

Back

The graph shifts upward by c units if c is positive and downward if c is negative.

Front

What is the transformation of the function f(x) = x^2 when it is reflected over the x-axis?

Back

The equation becomes y = -x^2.