Answer:

Step-by-step explanation:
The parent function is given as:

We want to find a new function that results after shifting f(x), 2 units to the right.
Let that function be g(x), then

We replace x by x-2 in f(x) to get:

When we simplify, we obtain:

Answer:
6/5 or 1.2, they're the same value
Step-by-step explanation:
When it says "rate of change", it's really just asking for the slope. If you don't know what the slope is, essentially how much the y-value increases by whenever x increases by 1. This can be formally defined using the equation:
which is essentially
. The subtraction is finding the difference between the two numbers to see how much it's changed by. Btw the order doesn't matter, I could plug in (-3, -2) as (x2, y2) or I could plug it in as (x1, y1) as long as I make sure to input it in correctly. In this example I'll just say (-3, -2) = (x1, y1) and (2, 4) = (x2, y2). Plugging these values into the equation gives you:
that's the rate of change
The order of division determines the numerator and the denominator and this can effect the value. And example of this:
3/2 = 1.5
2/3 = 0.6667
Whereas, multiplication is not affected by the order:
2 x 3 = 6
3 x 2 = 6
Yes bc it swims 69 miles per hour, so its always porportional