SOLUTION: Find Y in the following equation: {{{y=2(x-2)^2 + 9}}}

Question 569574: Find Y in the following equation:

Answer by JBarnum(2146) (Show Source): You can put this solution on YOUR website!

Solved by pluggable solver: SOLVE quadratic equation with variable

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=56 is greater than zero. That means that there are two solutions: .

Quadratic expression can be factored:

Again, the answer is: 3.87082869338697, 0.129171306613029. Here's your graph:

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