Your second equation has 2 x-intercepts because its curve goes beneath the x-axis, meaning it crosses the x-axis twice. Your first equation has only one x intercept because its vertex touches the x-axis. The transformation that occurred was a vertical shift downwards, (since the image function has that little -7 at the end : ) )
I'm more visual, but if you're not, and this confuses you, ask me, and I'll explain it.
V=4/3πr^3
36π=4/3πr^3
3/4(36π)=(4/3πr^3)3/4
27π=πr^3
π(27π)=r^3
27=r^3
square root
r=3
s.a=4πr^2
s.a=4π(3^2)
s.a=4π(9)
s.a=36π
Since these are supplementary angles (two angles which sum to 180°) we can say:
4x+x=180 combine like terms on left side
5x=180 divide both sides by 5
x=36°
40% = 32/x
Rewrite using a decimal
.40 = 32 / x
Multiply both sides by x
.40x = 32
Divide both sides by .40
x = 32 / .40
x = 80
Write the full fraction
32/80
Answer 32/80
