Mathematics
haeeetaco
2016-09-26 09:58:21
What is the y-value of the vertex of the function f(x) = –(x + 8)(x – 14)?
ANSWERS
debragalloway50
2016-09-26 12:08:33

[latex]f f(x)=-(x+8)(x-14)implies f(x)=-(x^2-6x-112) \\\ f(x)=-x^2+6x+112\\ -------------------------------\\ extit{vertex of a parabola}\ quad \ egin{array}{lccclll} f(x)=&-1x^2&+6x&+112\ &uparrow &uparrow &uparrow \ &a&b&c end{array}qquad left(-cfrac{{{ b}}}{2{{ a}}}quad ,quad {{ c}}-cfrac{{{ b}}^2}{4{{ a}}} ight)[/latex] so the y-coordinate is then    [latex]f {{ c}}-cfrac{{{ b}}^2}{4{{ a}}}[/latex]

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