Transformations of Functions (F-BF.3) Advisory

Front

What is a transformation of a function?

Back

A transformation of a function refers to the changes made to the graph of a function, which can include shifts, stretches, compressions, and reflections.

Front

What does a horizontal shift to the right by 'h' units look like for the function f(x)?

Back

The transformation is represented as f(x - h).

Front

What does a vertical stretch by a factor of 'k' look like for the function f(x)?

Back

The transformation is represented as k * f(x), where k > 1.

Front

How do you represent a horizontal shift to the left by 'h' units for the function f(x)?

Back

The transformation is represented as f(x + h).

Front

What is the effect of reflecting a function over the x-axis?

Back

Reflecting a function over the x-axis changes the sign of the output, represented as -f(x).

Front

What is the effect of reflecting a function over the y-axis?

Back

Reflecting a function over the y-axis changes the sign of the input, represented as f(-x).

Front

If f(x) = x^2, what is the equation for f(x) shifted 2 units to the right?

Back

The equation is (x - 2)^2.

Front

What is the vertex of the function g(x) = f(x + 2) if the vertex of f(x) is (-4, 5)?

Back

The vertex of g(x) is (-6, 5).

Front

What does a vertical shrink by a factor of 'k' look like for the function f(x)?

Back

The transformation is represented as (1/k) * f(x), where 0 < k < 1.

Front

Identify the transformations for the function y = -g(x + 6) - 10.

Back

Reflect over the x-axis, shift down 10 units, and shift left 6 units.