Scott C.

Write quadratic equation in general form. Please explain where I went wrong.

I can not provide an image but it is a parabola on a graph. The vertex is -3.5,-4 . The Left bound is -7,20 and the y-intercept on the right side is 20. I have to determine the equation for the quadratic function and write it in a general form. Here is what I have done.

Vertex= -3.5, -4 h= -3.5 x=-7

Left Bound= -7, 20 k= 4 y=20

Y= a(x-h)^2+k

20=a(-7-(-3.5)^2+4

20=a(-3.5)^2+4

20=a(-12.25)+4

-4 -4

16=a(-12.25)

and now I am lost. Thank you for your time.

Tom K.

tutor
k = -4 It should be 12.25a - 4 = 20; 12.25a = 24 a = 24/12.25 = 96/49; You should know that a is positive because the parabola is convex.
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05/16/21

Tom K.

tutor
Also, I wonder if the values at 0 and -7 could be 20.5, as that would make a = 2.
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05/16/21

Tom K.

tutor
Alternatively, perhaps, the vertex is at -3.5, -4.5. Things would work out well, then.
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05/16/21

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Scott C.

Thanks again you have been helpful with all my questions.
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05/17/21

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