Question

given y=log in a base 2 of (x-2).
1. Write the equation in exponential form, and sketch its graph by plotting a
few points.
2.Now inverse the function to get the graph of the original function.
what should i do step by step?

Answer 1

FOR QUESTION 1.

first: you have to convert the logarithmic eq in exponential form.

x - 2 = y^2

next: graph the equation. this is a parabola that opens to the right. to graph, assign values of x, then solve for using the equation. example, x = 6. your Y will be positive and negative 2. so you already have two coordinates, (6,2) and (6,-2).

I suggest you assign values of x as 2, 3 and 6 as already given.