Monday, September 9, 2013

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

 (1) This problem is about finding various characteristics of a parabola using a quadratic function in the standard form. The characteristics we will be finding are the x- intercepts, the y- intercepts, the axis of symmetry, and the vertex (maximum or minimum). The quadratic we will be using is 2x^2 + 12x + 6.

(2) The viewer may not understand the concept if certain things go unnoticed. One of these things is that the viewer must be careful to complete the square correctly otherwise the rest of the information of the problem will be wrong. Additionally, the viewer must pay attention to the numbers meticulously because there is quite some work to do and simple mistakes can cause incorrect answers.

Step 1 includes completing the square. The first picture shows this step. We started with 2x^2 + 12x +6 = 0 and we ended up with 2(x + 3)^2 = 5.
 The Second step is shown below. In this we use what we got from step 1 to find various information about the graph by plugging numbers into both the graph form and the parent graph form of the quadratic.

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