Question

Starting with the graph of f(x) = 5^{x}, write the equation of the graph that results from (a) shifting f(x) 1 units downward. y =? (b) shifting f(x) 1 units to the left. y =? (c) reflecting f(x) about the x-axis. y =?

Answer 1

1 down, means minus 1 from whole equation
moving 1 to left means add 1 to every x
reflecting across x axis means multiply every x by -1

a. $y=5^x+1$
b. $y=5^{x+1}$
c. $y=5^{-x}$