What is the vertex of the parabola $y = - 3 (x - 4) 2 - 5$ $y = -3(x - 4)2 - 5$ ?

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Answer 1 · 2017-02-09T07:48:20

The vertex is $V = (4; - 5)$ $V=(4;-5)$

The vertex of a parabola given in the form of:

$y = a {(x - p)}^{2} + q$ $y=a(x-p)^2+q$

is given as

So in the example we have:

$a = - 3$ $a=-3$ , $p = 4$ $p=4$ , and $q = - 5$ $q=-5$

So the coordinates of the vertex are: $V = (4; - 5)$ $V=(4;-5)$