If the parent function is y = x, explain the transformation(s) that occur to get from the parent function to y = 3(x - 5) – 2

Going from y = x to y = 3x means we have vertically stretched everything by a factor of 3. For example, the point (4,4) moves to (4,12).

Then we replace x with (x-5) so that we get to y = 3(x-5). This shifts the graph 5 units to the right.

Finally, the -2 at the end shifts everything down 2 units.

Summary:

We applied these three transformations

this is the formula: v = the value of investment at the end of the time period

p = the principal amount (the initial amount invested)

r = the annual interest rate

n = the annual frequency of compounding (how many times a year interest is added)

t = the number of years the money is invested

^ means raise to the power of