Brainliest + points write an exponential growth function. explain why your function represents exponential growth.

We need to write an exponential growth function.

Let us define an exponential function first.

An exponential function is a function whose has a variable the exponent.

Equation of an exponential function is , where is the initial value, b is the growth factor.

Let us define and exponential growth function now.

When the rate in exponential function increase, we get an exponential growth function.

In , equation when value of b is greater than 1, it will be an exponential growth function.

Let us take an example now.

Let us take another example.

Exponential growth function totally depends on the value of b we take.

Only if b>1 it would be an Exponential growth function.

6 on both sides and twelve on the top and the bottom

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1