Find the quadratic function $y=a x^{2}+b x+c$ whose graph passes through the given points. $$(-2,7),(1,-2),(2,3)$$
Added by Ismael A.
Step 1
First, we can use the given points to set up a system of equations: $$\begin{cases} 7 = 4a - 2b + c \\ -2 = a + b + c \\ 3 = 4a + 2b + c \end{cases}$$ Simplifying each equation, we get: $$\begin{cases} 4a - 2b + c = 7 \\ a + b + c = -2 \\ 4a + 2b + c = 3 Show more…
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