SP #1: Unit E Concept 1: Identifying x-intercepts, y-intercepts, Vertex (max/min), Axis of Quadratics and Graphing

1st paragraph: This problem is about changing the standard equation to a parent function equation in order to be able to graph the quadratic. You will need to figure out your vertex, y-intercept, x-intercept, and axis of symmetry. Steps are required to convert your equation and to find your intercepts. By the end, you will use all these tools to graph your quadratic. Remember, you cannot plot imaginary answers. 2nd paragraph: To start off with full understanding, you will need to pay attention to changing your equations. You must complete the square in order to go from a standard equation to a parent function equation. Your vertex is (h,k). But remember, your "h" is the opposite to what you think it is. For instance, (x-2)^2, your "h" would 2. When you think of axis, be clear that it is the same as axis of symmetry or axis of line symmetry. When you plot your graph, it should be thoroughly and relatively easy once you got your points. Steps & Explanations!! 1. You must complete the square in order to convert the equation. Subtract 6 from both sides and complete the square by using (b/2)^2. 2. Vertex is (h,k). Remember "h" is the opposite to what you think it is! This graph is a minimum because the "a" is positive. 3. Find your y-intercept by plugging in zero for x on your standard form equation. 4. The Axis or axis of symmetry is determined by x=h. 5. Solve your x-intercepts by plugging in to your completing the square process. So you should plug it into something like "2(x+3)^2 = 12. By the end, remember to plug in all of your points that you have found onto the graph. Remember to use the axis of symmetry.