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

Aug 21, 2017

The vertex form is $y = - 5 {\left(x + 0.2\right)}^{2} + 24.2$

#### Explanation:

$y = - 5 {x}^{2} - 2 x + 24 \mathmr{and} y = - 5 \left({x}^{2} + \frac{2}{5} x\right) + 24$ or

$y = - 5 \left({x}^{2} + \frac{2}{5} x + \frac{1}{25}\right) + \frac{1}{5} + 24$ or

$y = - 5 {\left(x + \frac{1}{5}\right)}^{2} + \frac{121}{5}$ or

$y = - 5 {\left(x + 0.2\right)}^{2} + 24.2$. 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 $\left(- 0.2 , 24.2\right)$.

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