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4.2 – Graph Quadratic Functions in Vertex or Intercept Form
Standard Form: y = ax2 + 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 = -0.026x(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?