SOLUTION: Convert the following equation of a parabola into focus form: x2 + 6x = 8y + 15

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Question 955290: Convert the following equation of a parabola into focus form: x2 + 6x = 8y + 15
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

The vertex form of a parabola's equation is generally expressed as :
y=a%28x-h%29%5E2%2Bk where (h,k) is the vertex

x%5E2+%2B+6x+=+8y+%2B+15
%28x%5E2+%2B+6x%2B3%5E2%29-3%5E2+=+8y+%2B+15
%28x+%2B+3%29%5E2-9+-15=+8y+
%28x+%2B+3%29%5E2-24+=+8y
y=%281%2F8%29%28x+%2B+3%29%5E2-24%2F8+
y=%281%2F8%29%28x+%2B+3%29%5E2-3
focus is at: (-3,-3)