Write the equation of the parabola in vertex form. Vertex (-5, 8) Point (-4,10)

Question

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Answer 1

Hi Taylor,

As you know the general equation of parabola is y = k ( x - a )^2 + b

Now we know the vertex is (-5 , 8) so a = -5 AND b = 8

so y = k ( x + 5 )^2 + 8 for finding k replace given point (-4,10)

10 = k ( -4 + 5 )^2 + 8

10 = k ( 1 ) + 8 both side minus 8

2 = k

As a result, equation of parabola is y = 2 (x+5)² + 8

I hope it is useful,

Minoo