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

This problem is about changing an equation in standard form f(x)=ax^2+bx+c into parent function form f(x)=a(x-h)^2+k so that it is easier to graph. With the parent function, it is easier to find and identify the vertex, y-intercept, axis, and x-intercepts. Though it takes several steps to find these parts of the graph, it will result in a more accurate and detailed sketch of the graph.

Some special things to pay attention to would include the (h, k), included in the parent function, which acts as the vertex of the graph. In certain examples, the x-intercepts do not come out with real numbers. With the imaginary numbers, we are not able to graph the points on the graph.