Question

How do get the equation for this exponential function?

Answer 1

• f(x)=2^(5+x) - 4

Explanation:

Refer to attached

Got it by trials on Desmos

Function for exponent is:

• y=ab^d(x−c) + k

It was easy to find k = - 4, a = 1 on the graph

b = 2 was also easy as it is the lowest integer to use as a base

Finding the rest was just substitution of x and y as per points on the graph. d= 1 and c = -5 were the last numbers to find.