$13\mathrm{.}21($Algebra: vertex form equations$)$ The equation of a parabola can be expressed in either standard form $)=(a{x}^2+bx+c$ or vertex form $)=(a(x-h{)}^2+k.$ Write a program that prompts the user to enter $a,b,$ and $c$ as integers in standard form and displays $)=(\frac{-b}{2a}$ and $)=(\frac{4ac-b^2}{4a}$ in the vertex form. Display $h$ and $k$ as rational numbers. Here are some sample runs:

Enter a$,$ b$,$ c: $131$

GEnter

$h$ is $-\frac{3}{2}k$ is $-\frac{5}{4}$

Enter a$,$ b$,$ c: $(\frac{\text{F}\text{e}\text{n}\text{t}\text{e}\text{r}}{234})$

$h$ is $-\frac{3}{4}k$ is $\frac{23}{8}$