SOLUTION: graph this function? y=4(x+3)squared + 1

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Question 198183: graph this function?
y=4(x+3)squared + 1
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!


Given: y=4%28x%2B3%29%5E2%2B1
Expand:
y=4%28x%5E2%2B6x%2B9%29%2B1
y=4x%5E2%2B24x%2B36%2B1
y=4x%5E2%2B24x%2B37, wheresystem%28a=4%2Cb=24%2Cc=37%29

Solving vertex: (x,y) = (h,k)

h=-b%2F2a=-24%2F%282%29%284%29=-24%2F8
red%28h=-3=x%29

For y: subst. x= -3 to eqn,
y=4%28-3%29%5E2%2B24%28-3%29%2B37=4%289%29-72%2B37=36-72%2B37
red%28y=1=h%29

Vertex --> (h,k) = (-3,1)



Thank you,
Jojo