4.2 – Graph Quadratic Functions in Vertex or Intercept Form Standard Form: y = ax 2 + bx + c Vertex Form: y = a(x – h) 2 + k

4.2 – Graph Quadratic Functions in Vertex or Intercept Form Example 1: Graph a quadratic function in vertex form Graph y = -1/4(x+2) 2 + 5

4.2 – Graph Quadratic Functions in Vertex or Intercept Form Example 2: Graph a quadratic function in vertex form Graph y = (x+1) 2 – 3

4.2 – Graph Quadratic Functions in Vertex or Intercept Form Example 3: Graph a quadratic function in vertex form Graph y = (x - 4) 2 + 5

4.2 – Graph Quadratic Functions in Vertex or Intercept Form If the graph of a quadratic function has at least one x-intercept, then the function can be represented in intercept form, y = a(x – p)(x – q)

4.2 – Graph Quadratic Functions in Vertex or Intercept Form Example 4: Graph a quadratic function in intercept form Graph y = 2(x + 3)(x – 1)

4.2 – Graph Quadratic Functions in Vertex or Intercept Form Example 5: Graph a quadratic function in intercept form Graph y = -(x + 1)(x – 5)

4.2 – Graph Quadratic Functions in Vertex or Intercept Form Example 6: Graph a quadratic function in intercept form Graph y = -x(x - 4)

4.2 – Graph Quadratic Functions in Vertex or Intercept Form Example 7: Graph a quadratic function in intercept form The path of a placekicked football can be modeled by the function y = x(x – 46) where x is the horizontal distance (in yards) and y is the corresponding height (in yards). a.How far is the football kicked? b.What is the football’s maximum height?