This problem is about how to graph a quadratic equation and finding the parent function equation. The parent function equation can be found by completing the square and equaling it to y. The vertex is the (h,k) of the parent function f(x)= a(x-h)²+k which is (2,4) in this equation and determine whether it is a maximum or minimum. The y-intercept is found by plugging in zero to all the x-values in the original equation and solving. The axis of symmetry is x=h, which divides the parabola in half. The x-intercepts are found by solving for the parent function.
You need to pay special attention to the signs of operation whether it is addition or subtraction in the problem. Also, be aware of the order of operation in order to get to the answer. You also need to pay attention that there are three possible points on the graph because there is no imaginary x-intercepts.
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