Transformations of functions

Front

f(x) = 5x² + 2

Back

Stretch of 5
Up 2

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)=2x²

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+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

Back

f(x)=3∣x−2∣−2

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