Transformations of Functions

Front

If the blue is f(x)=x², then the red must be: g(x)=x²-5, g(x)=x²+5, g(x)=(x-5)², g(x)=(x+5)²

Back

g(x)=x²-5

Front

Back

g(x)=(x-1)³

Front

If the blue is f(x)=x², the red must be: g(x)=(x+3)², g(x)=(x-3)², g(x)=x²+3, g(x)=x²-2

Back

g(x)=(x-3)²

Front

What are the following transformations?
- f(x+2)

Back

reflection over the x axis and 2 units left

Front

What are the following transformations:
f(-x) - 4

Back

reflection over the y axis and 4 units down

Front

Which of the following transformations are present in -2f(x - 1) + 2? Options: Shift 1 unit down, Shift 1 unit up, Shift 1 unit left, Shift 1 unit right

Back

Shift 1 unit right

Front

Describe the transformation that occurred: h(x) = 1/5f(x)

Back

Less Steep

Front

Which equation describes the transformation of shifting f(x)=x³ four units down? Options: x³+ 4, x³- 4, (x - 4)³, (x + 4)³

Back

x³- 4

Front

Transformation of shifting f(x)=x³ seven units up.

Back

x³+7

Front

Which equation describes the transformation of shifting f(x)=x³ three units left? Options: x³ + 3, x³ - 3, (x + 3)³, (x - 3)³

Back

(x + 3)³