Question

Which of the following is the equation of the horizontal asymptote of the graph of
f(x) = 5^(x - 2) + 6

A.y = 6 B.y = 5
C.x = 0 D.x = 2

Answer 1

@jim_thompson5910

Answer 2

@dan815

Answer 3

@timo86m

Answer 4

Firstly its asking for horizontal asymptote so we know our answer is gonna be y= NOT x=

Answer 5

Secondly any regular exponential function c^x usually has a horizontal asymptote at x=0

Answer 6

since y=5^(x-2)+6
So we have a vertical translation of 6 meaning the graph moved up 6 units so the horizontal asymptote is at y=6

Answer 7

thank you

Answer 8

always think of base graph and work from there