SP #1: Unit E Concept 1: Identifying x-intercepts, y-intercepts, vertex (max/min), axis of quadratics and graphing them.

This problem is about sketching graphs of quadratics using shifts of the parent function accurately with the graphing calculator. The equation begins in standard form, which is f(x)= ax^2+bx+c. To make it simpler, we must complete the square to make it : f(x)=a(x-h)^2+k. The graph will have as much as 4 points which are: the 2 x-intercepts, the y-intercept, and the vertex.The axis will be a dotted line.

The viewer must pay close attention to see if the graph if positive or negative because that will determine if it is a minimum or a maximum. In this example, it is positive, and this makes it a minimum. The h and k values are what make the vertex of your graph. If the h is negative, then the x on the vertex will be positive (and vice-versa). The k stays what it is. Also, the axis is not just a number; it is x=__.