Solve for y. 3 parts to question.

Question

Starting with the graph of f(x)=7^x, write the formula for the function that results from

(a) shifting f(x) 7 units upward. y= ?

(b) shifting f(x) 8 units to the right. y=? 

(c) reflecting f(x) about the x-axis and the y-axis. y=?

Thank you,

[3.5a_8]

Answer 1

(a) f(x) = 7^x + 7

(b) f(x) = 7^(x - 8)

(c) For x-axis reflection f(x) = -(7^x)

For y-axis reflection f(x) = 7^(-x) or f(x) = 1/(7^x) or f(x) = (1/7)^x