SOLUTION: Graph the parabola: y = (x-4)^2 - 2

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Question 38733: Graph the parabola:
y = (x-4)^2 - 2
Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!

This parabola is in vertex form, so I can tell that it opens up and has a vertex of (4,-2). Next, pick some points and determine the y-value for each one. It should look like what is plotted below.
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=8 is greater than zero. That means that there are two solutions: .




Quadratic expression can be factored:

Again, the answer is: 5.41421356237309, 2.58578643762691. Here's your graph:
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