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Sagot :
Considering the equation of the parabola in vertex form, it is found that a number of -100 would have to be added to complete the square.
What is the equation of a parabola given it’s vertex?
The equation of a quadratic function, of vertex (h,k), is given by:
[tex]y = a(x - h)^2 + k[/tex]
In which a is the leading coefficient.
In this problem, the equation is:
[tex]x^2 - 20x + 24[/tex]
Placing it in vertex form, we would have:
[tex](x - 10)^2 + 24 + c[/tex]
Applying the square of the subtraction:
[tex](x - 10)^2 = x^2 - 20x + 100[/tex]
Hence, a number of -100 would have to be added to complete the square.
More can be learned about equation of a parabola in vertex form at https://brainly.com/question/17987697
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