The vertex of this parabola is at (4,-3). When the x-value is 5, the y-value is -6.What is the coefficient of the squared expression in the parabola's equation?

Step-by-step explanation:

we have that the form of the parabola's equation is

an also we have

and for the vertex in (4,-3)

     (1)

if we subtract the first equation to the second equation we can obtain a 2x2 system equation

  (2)

and by taking the equations (1) and (2)

hence, for b we have

and to compute c we can use

Finally we have that the parabola is

I hope this is useful for you

regards

step-by-step explanation:

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