Question

If the vertex of a parabola is (-4, 6) and another point on the curve is (-3, 14), what is the coefficient of the squared expression in the parabola's equation?

Answer 1

`y=a(x-h)^(2) +k`

`(x,y)=(-3,14)`

`(h,k)=(-4,6)`

`14=a(-3-(-4))^(2))+6`

`14=a(-3+4)^(2) +6`

`14=a(1)^(2) +6,-6`

`8=a`

`ANSWER:8`

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