Question

Write an exponential function for the graph that passes through the points (0, –3) and (4, –48)

Answer 1

y = (-3)2^x

Explanation:

We can substitute the two points in the equation y = abˣ and we get two equations. By solving the two equations, we can find the values of a and b.

Substitute (0, -3) in the equation y = abˣ

-3 = a * b⁰

-3 = a * 1

`\boxed{\bf a = -3}`

Substitute (4, -48) in the equation y =abˣ

-48 = (-3) * b⁴

`(-48)/(-3)=b^4\\\\ b^4 = 16\\\\b^4 = 2^4\\\\ \boxed{\bf b = 2}`

Exponential function:

`y = (-3)2^x`