What is the vertex form of $y= -5x^2-2x+24$ ?

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Answer 1 · 2017-08-21T10:49:38

The vertex form is $y = -5(x+0.2)^2+ 24.2$

$y = -5x^2-2x+24 or y = -5(x^2+2/5x) +24$ or

$y = -5(x^2+2/5x +1/25)+1/5 +24$ or

$y = -5(x+1/5)^2+ 121/5$ or

$y = -5(x+0.2)^2+ 24.2$ . Comparing with vertex form of

equation $y = a(x-h)^2 +k ; (h,k)$ being vertex , we find here

$h= -0.2 , k =24.2$ . So vertex is at $(-0.2,24.2)$ .

The vertex form is $y = -5(x+0.2)^2+ 24.2$ [Ans]

What is the vertex form of y= -5x^2-2x+24 y= -5x^2-2x+24 ?