SOLUTION: Please help me solve {{{ y = -x^2 + 2x + 3 }}} I understand how to do the simpler equations, such as y = 2x + 3, but am confused on how to solve for the equations when there are e

Question 215690: Please help me solve
I understand how to do the simpler equations, such as y = 2x + 3, but am confused on how to solve for the equations when there are exponents. Thank you!
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Please help me solve
I understand how to do the simpler equations, such as y = 2x + 3, but am confused on how to solve for the equations when there are exponents.
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Do you know about quadratics at all?

Solved by pluggable solver: SOLVE quadratic equation (work shown, graph etc)

Quadratic equation (in our case ) has the following solutons:

For these solutions to exist, the discriminant should not be a negative number.

First, we need to compute the discriminant : .

Discriminant d=16 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: -1, 3. Here's your graph:

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