Question

Given f ( x ) = x^2 , after performing the following transformations: shift upward 76 units and shift 91 units to the right, the new function g ( x ) =?

Answer 1

g(x) = (`x^2 - 91`)`+76`

Explanation:

since you're shifting 91 to the right, always do the opposite when it comes to the x. if shifting to the right, make the number negative. if shifting to the left, make the number positive. in this case, you're shifting right, so make the number in question (91), negative.
this gives us `(x^2 - 91)`

now, we must shift it up by 76. since up and down is the y value, we follow it and do as it asks, and add 76.
your answer is
g(x) = `(x^2-91) + 76`