1. What percent of students need swimming lessons?
1 answer:
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Answer:
y=8(x+1)²-2
Step-by-step explanation:
Completing the square is a method of factorising. x²+bx+c=0 becomes x²+bx+(b)²-(
b)²+c=0. This then gets converted to make an equation of (x+
b)²+(-(
b)²+c)=0.
Vertex form is y=a(x-h)²+k.
8x²+16x+6=0 must first be divided by 8 to 8(x²+2x+)=0 (as there cannot be a coefficient for x²).
This will become 8(x²+2x+²-
²+
)=0.
From there, using the method above, we can convert it to 8[(x+1)²-1+]=0.
Solving this gets 8[(x+1)²-]=0.
With 8 as a, 1 as -h, and 8×- (-2) as k, we can input this into vertex format to get the result of y=8(x+1)²-2.
**This equation involves completing the square and vertex form, which you may wish to revise. I'm always happy to help!