SOLUTION: I'm not sure if this is the right category but here are the problems I don't get how to do. We have to solve and graph. y=(x+1)squared -7 y=(x-4)squared -2

Algebra ->  Systems-of-equations -> SOLUTION: I'm not sure if this is the right category but here are the problems I don't get how to do. We have to solve and graph. y=(x+1)squared -7 y=(x-4)squared -2      Log On


   

Question 172461: I'm not sure if this is the right category but here are the problems I don't get how to do. We have to solve and graph.
y=(x+1)squared -7
y=(x-4)squared -2
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

y=%28x%2B1%29%5E2-7--->a%28x-h%29%5E2%2Bk
where h,k is the vertex:
Then, h=x=-1; k=y=-7
F%28x%29=0
y=%280%2B1%29%5E2-7=1-7=-6
F%28y%29=0
7=%28x%2B1%29%5E2
sqrt%287%29=x%2B1
x=-1%2B-sqrt%287%29=-1%2B-2.646
x=-3.646,x=1.646
.
y=%28x-4%29%5E2-2
h=x=4;k=y=-2
F%28x%29=0----->y=%280-4%29%5E2-2=16-2=14
F%28y%29=0--->sqrt%282%29=x-4
x=4%2B-sqrt%282%29
x=4%2B1.414=5.414
x=4-1.414=2.586
-->RED y=%28x%2B1%29%5E2-7, GREEN y=%28x-4%29%5E2-2
Thank you,
Jojo