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

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 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? Options: x³+7, x³-7, (x-7)³, (x+7)³

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

Front

Transformations of y = √(x)

Back

Reflected over the x-axis, vertical stretch, and shifted right 5

Front

Equation of the graph: f(x) = (x + 2)² - 3, f(x) = (x - 2)² - 3, f(x) = |x + 2| - 3, f(x) = |x - 2| - 3

Back

f(x) = |x + 2| - 3

Front

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

Back

-f(x)