Thread: sketching functions

Given f(x) = 1/x^2, sketch the graph of y = -f(x + 1) + 4.


Unsure how to do this!
any help would be appreciated!

Originally Posted by scubasteve94

Given f(x) = 1/x^2, sketch the graph of y = -f(x + 1) + 4.

start by sketching the parent function f(x) = 1/x^2

the following transformations to f(x) = 1/x^2 occur in the order given ...

1. f(x+1) ... horizontal shift left 1 unit

2. -f(x+1) ... reflect over the x-axis

3. -f(x+1) = 4 ... vertical shift up 4 units

that's all folks.