Given the parent function f(x) = 3x, which graph shows f(x) + 2?

a. exponential function going through point 0, 1 and ending up on the right
b. exponential function going through point 0, negative 1 and ending up on the right
c. exponential function going through point 0, 5 and ending up on the right
d. exponential function going through point 0, 3 and ending up on the right

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)