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Title: Find rules for quadratic equation, given an x-intercept, y-intercept and the y value of the vertex Post by: diskwad3 on Aug 26, 2020 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. Title: Re: Find rules for quadratic equation, given an x-intercept, y-intercept and the y value of the ... Post by: bio_man on Aug 26, 2020 Content hidden
Title: Re: Find rules for quadratic equation, given an x-intercept, y-intercept and the y value of the ... Post by: diskwad3 on Sep 17, 2020 Thank you for the detailed answer. I actually know how to get the correct answer. ;D
I've attached my working out if anyone in the future needs a reference. Title: Re: Find rules for quadratic equation, given an x-intercept, y-intercept and the y value of the ... Post by: bio_man on Sep 17, 2020 Great, thanks diskwad3 (https://biology-forums.com/index.php?action=profile;u=925956)
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