Answer:
y = 9
Step-by-step explanation:
-2y+6=-12
subtract 6 on both sides: -2y=-18
divide both sides by -2: y=9
Log w (x^2-6)^4
Using log a b = log a + log b, with a=w and b=(x^-6)^4:
log w (x^2-6)^4 = log w + log (x^2-6)^4
Using in the second term log a^b = b log a, with a=x^2-6 and b=4
log w (x^2-6)^4 = log w + log (x^2-6)^4 = log w + 4 log (x^2-6)
Then, the answer is:
log w (x^2-6)^4 = log w + 4 log (x^2-6)
You have the intercepts and x-coordinate of the vertex correct. There appears to be a math error in the calculation of the y-value of the vertex.
f(7/8) = (4*7/8 -7)*(7/8) -15 = -49/16 -15 = -289/16 = -18.0625
Let s represent speed.

To graph it, draw a number line. Show zero, 20, 50 and arrowheads at both ends. Draw closed circles at 20 and 50 and shade in between.