# What is the vertex form of y= -25x^2 + 8x - 13 ?

May 28, 2018

Vertex form of equation is $y = - 25 {\left(x - 0.16\right)}^{2} - 12.36$

#### Explanation:

$y = - 25 {x}^{2} + 8 x - 13$ or

$y = - 25 \left({x}^{2} - \frac{8}{25} x\right) - 13$ or

$y = - 25 \left\{{x}^{2} - \frac{8}{25} x + {\left(\frac{4}{25}\right)}^{2}\right\} + 25 \cdot \frac{16}{625} - 13$ or

$y = - 25 {\left(x - \frac{4}{25}\right)}^{2} + \frac{16}{25} - 13$ or

$y = - 25 {\left(x - \frac{4}{25}\right)}^{2} - \frac{309}{25}$ or

$y = - 25 {\left(x - 0.16\right)}^{2} - 12.36 \therefore$ Vertex is at

$\left(0.16 , - 12.36\right)$ and vertex form of equation is

$y = - 25 {\left(x - 0.16\right)}^{2} - 12.36$ [Ans]