Transformation of Functions

Front

What are the transformations in the function y=3(x-4)²?

Back

Horizontal shift right 4, vertical stretch by a factor of 3.

Front

Which equation describes the transformation of shifting f(x)=x² two units right?

Back

(x - 2)².

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

If the vertex of the quadratic function f(x) is (-4, 5) and g(x) = f(x + 2), what is the vertex of g(x)?

Back

(-6, 5).

Front

Describe the transformation of f(x) = ⅔(x - 7)².

Back

Shrink of ⅔, right 7.

Front

What does a horizontal shift to the right by 'h' units look like in function notation?

Back

f(x - h).

Front

What is the effect of a vertical stretch by a factor of 'k' on the function f(x)?

Back

The new function is k*f(x).

Front

How does the graph of f(x) = -x² differ from the graph of f(x) = x²?

Back

It is reflected over the x-axis.

Front

What transformation is represented by f(x) = f(x - h) + k?

Back

Horizontal shift right by h and vertical shift up by k.

Front

What is the transformation of the function f(x) = (x + 3)² - 5?

Back

Shifted left 3 and down 5.