Wednesday, May 22, 2013

write an equation for the parabola with the given vertex that passes through the given point. vertex: (-4,3) point:(-3,6)

The standard form of the equation of a parabola is 

%0D%0Ay=a%28x-h%29%5E2%2Bk%0D%0A 

so we can write 


%0D%0Ay=a%28x%2B4%29%5E2%2B3%0D%0A 


and using(-3,6) 
tells us 


%0D%0A6=a%281%29%5E2%2B3%0D%0A 
so we know a=3 

%0D%0Ay=3%28x%2B4%29%5E2%2B3%0D%0A 



:)

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