a. factor the equation <span>b. graph the parabola </span> <span>c. identify the vertex minimum or maximum of the parabola </span> <span>d. solve the equation using the quadratic formula </span> below are the answers:
Vertex form is most helpful for all of these tasks. <span>Let </span> <span>.. f(x) = a(x -h) +k ... the function written in vertex form. </span>
<span>b) Graph: </span> <span>.. It is a graph of y=x^2 with the vertex translated to (h, k) and vertically stretched by a factor of "a". </span>
<span>c) Vertex and Extreme: </span> <span>.. The vertex is (h, k). It is a maximum if "a" is negative; a minimum otherwise. </span>
<span>d) Solutions: </span> <span>.. The quadratic formula is based on the notion of completing the square. In vertex form, the square is already completed, so the roots are </span> <span>.. x = h ± √(-k/a)</span>