Answer:
g(x) = (1/6)(x +7)^2 -8
Step-by-step explanation:
The transformation ...
g(x) = a·f(x -h) +k
represents vertical scaling by a factor of 'a', right shift by h units, and up shift by k units. You want the function g(x) for f(x) = x^2, a = 1/6, h = -7, and k = -8. Those transformations give you ...
g(x) = (1/6)(x +7)^2 -8
Answer:
Step-by-step explanation:
So we have the two functions:
And we want to find f(g(-2)).
First, let's find g(-2):
Multiply:
Subtract:
Now, substitute:
Now, find the value of f(-20):
Multiply:
Add:
So:
And we're done!
Answer:
Step-by-step explanation:
To avoid confusion, distribute the negative amongst all terms in the second set of parentheses.
I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.
