SOLUTION: g(x)is a horizontal compression of f(x) by a factor of 1/7

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Question 1127223: g(x)is a horizontal compression of f(x) by a factor of 1/7
Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=x%5E2
We can stretch or compress it in the y-direction by multiplying the whole function by a constant.
c+%3E+1 stretches it
0+%3C+c+%3C+1 compresses it

g%28x%29+=c%2Ax%5E2
c=1%2F7
g%28x%29+=%281%2F7%29%28x%5E2%29



Summary: for future reference
We can do all transformation in one go using this:
af%28+b%28x+%2B+c%29+%29+%2B+d

a is vertical stretch/compression
abs%28a%29+%3E+1 stretches
abs%28a%29+%3C+1 compresses
+a+%3C+0+flips the graph upside down
b is horizontal stretch/compression
abs%28b%29+%3E+1 compresses
abs%28b%29++%3C+1 stretches
b+%3C+0 flips the graph left-right
c+is horizontal shift
c+%3C+0 shifts to the right
c+%3E+0 shifts to the left
d is vertical shift
d+%3E+0 shifts upward
d+%3C+0 shifts downward