Question

How do you write the quadratic equation of the graph with the given points (-3, 4), (1,0), and (-1,-2)?

Answer 1

Let's try this:
your quadratic should have the form: `y=ax^2+bx+c` and we can try to find `a,b and c` by substituting our points in `x` and `y`:
`4=9a-3b+c`
`0=a+b+c`
`-2=a-b+c`
I used Cramer's Rule to solve this system (although I am not sure you know about this) and I found:
`a=1`
`b=1`
`c=-2`
And the equation is: `y=x^2+x-2`