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Home Q & A Board Science-Related Homework Help Mathematics Pre-calculus and Functions
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diskwad3 diskwad3
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3 years ago
Find two quadratic functions f and g such that f (1) = 0, g(1) = 0 and f (0) = 10, g(0) = 10 and both have a maximum value of 18.

Below are the answers to this question presented in the textbook I'm working off, but I'm getting lost getting the answer.

f (x) = −2(x − 1)(x + 5)
g(x) = −50(x − 1)(x + 1/5)

Basically the x-intercept is (1, 0), and the y-intercept is (0,10), and the vertex is (-b/2a, 18) so I subbed them into different forms of quadratic equation such as

\(ax^{^2}\ +\ bx\ +\ c\)

and

\(a\left(x-e\right)\left(x-f\right)\)

and I would try to solve algebraically via the substitution method.

In addition to this, I tried using the discriminant formula and tried to transpose the formula to use substitution, but I seem to be going around in circles, getting more lost.

Any help would be much appreciated.
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bio_manbio_man
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diskwad3 Author
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#2
3 years ago
Thank you for the detailed answer. I actually know how to get the correct answer.  Grinning Face

I've attached my working out if anyone in the future needs a reference.
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#3
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3 years ago
Great, thanks diskwad3
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