Creating & Graphing Quadratic Functions Using Standard Form (3.3.1) January 30th, 2017

Standard Form ***Recall: 1) Vertex is _________. 2) Axis of symmetry is _______. 3) Y-intercept is ______. 4) X-intercepts are found by setting _____. 5) Opens upward if ________ and downward if ________.

Ex. 1: Sketch a graph for each of the following quadratic functions by finding the vertex, axis of symmetry, y-intercept, and x-intercepts (if any). State whether the vertex is the minimum or maximum point on the graph and explain your reasoning. a) b)

Ex. 2: Create the equation of each quadratic function described below Ex. 2: Create the equation of each quadratic function described below.with a vertex of With a vertex of (3, -1) and a y-intercept of -4. b) With a vertex of (-2, -3) and a y-intercept of 7. (*Hint: Consider which form of the quadratic function will make this the easiest to plug in this information: standard, vertex, or factored.)