# find an equation of the form y=ax^2 + bx + c, whose graph passess through the points (2, 3), (-2, 7) and (1, -2).

find an equation of the form $$y=ax^2 + bx + c$$, whose graph passess through the points (2, 3), (-2, 7) and (1, -2). You must use a system of linear equations in three variables for this problem.

• Questions are typically answered in as fast as 30 minutes

### Plainmath recommends

• Get a detailed answer even on the hardest topics.
• Ask an expert for a step-by-step guidance to learn to do it yourself.

Alix Ortiz
substitute the graph points into the general equation ... solve the system of equations for a, b, and c ... (2,3). 3 = 4a + 2b + c ... (-2,7). 7 = 4a - 2b + c ... (1,-2). -2 = a + b + c
###### Have a similar question?

• Questions are typically answered in as fast as 30 minutes