Standard form of a quadratic function
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Express the quadratic functions in standard form:
1)x^2-4x
2)2x^2+6x
3)5x^2+10x+6
4)2x^2-16+39
5)x^2+8x
6)2x^2+8x+14
7)3-12x-12x^2.
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Solution Summary
Seven examples of writing a quadratic function in the standard form are given. The metod used is explained in detail.
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Well, the standard form of a quadratic function is
f(x)=a(x-h)^2+k
where h and k are numbers.
The standard procedure for writing a function in standard form is called completnig the square.
It goes like this:
You work with x^2 - bx
You compare it to the first two terms in the expansion (x-h)^2 = x^2 -2hx +h^2
Then, you conclude that h must be b/2 to ...
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