Calculus Intensive -Quadratic functions Assessment

1. The graph of a quadratic function F is given
   1. Find the coordinates of the vertex and x and y intercepts of F
   2. Find the maximum or the minimum value of F
   3. Find the domain and range of F

1. A quadratic function F is given
   1. Express F in standard form
   2. Find the vertex and x and y intercepts of F
   3. Sketch a graph of F
   4. Find the maximum or the minimum value of F
   5. Find the domain and range of F

????(????) = ?2????² + 8???? ? 2

????(????) = 2????² + 2???? ? 3

1. A quadratic function F is given
   1. Find all zeros of F, real and complex
   2. Factor F

2. Find a quadratic function???? whose graph is a parabola with the given vertex and that passes through the given point

Challenge

1. Find the maximum value of the function

2. Find the minimum value of the function