This graph shows transformations between
f(x) = 10^x and g(x)= a •10^x

When we have a graph of a function y = f(x) = 10^x

A vertical dilation can be made by multiplying the function by a scale factor a.

Then the dilated graph is y = g(x) = a*10^x

This means that the graph that shows the dilation is a graph that is dilated vertically in with a scale factor equal to a (if a is smaller than 1, this is called a compression).

You can look for easy points to see which is the correct graph.

For example, when x = 0, f(0) = 10^0 = 1

and the dilated graph: x = 0, g(0) = a*10^0 = a

So other characteristic of the new graph is that passes trhough the point (0, a)

answer: translate the circles so they share a common center point and dilate circle y by a scale factor of 3.

y=3x+4

step-by-step explanation:

given the points a(0,4) and b(-4, -8)

eqn of line ab: (y-4)/(x-0)=(-8-4)/(-4-0)

(y-4)/x=-12/-4=3

y=3x+4