# Math Help - Quadratic Equation

I have a test in a few hours and this problem is on my review sheet and I am having trouble with it. If someone can help me out I would really appreciate it!!!!!!!!1

Find the equation of the quadratic function that has the given vertex and given point

V (-4,-3) through (-5,-2)

2. Let $f(x)=ax^2+bx+c$

Then,

$\left\{\begin{array}{lll}-\frac{b}{2a}=-4\\-\frac{\Delta}{4a}=-3\\ f(-5)=-2\end{array}\right.\Rightarrow\left\{\begin{array} {lll}b=8a\\b^2-4ac=12a\\25a-5b+c=-2\end{array}\right.$

Now solve the system.