<h2>Steps</h2>
- Standard Form of a Parabola: y = ax² + bx + c (a ≠ 0)
So with the three points that are given to us, we will plug them into the standard form formula that I had mentioned earlier. Firstly, plug (0,3) into the equation since the 0 will cancel out the a and b variable:
Now we know that the value of c is 3.
Next, plug (1,-4) into the standard form formula and simplify (Remember to plug 3 into the c variable):
Next, plug (-1,4) into the standard form formula and simplify:
With the last two simplified equations, we will create a system of equations:
With this, I will be using the elimination method. Add the two equations together, and the following equation is the result:
From here we can solve for a. For this, just divide both sides by 2:
Now that we have the value of a, plug it into either equation to solve for b:
<h2>Answer</h2>
Now, plug the obtained values in our standard form equation and your final answer will be: