This document discusses standard form of a quadratic function and how to convert it to vertex form. It provides the key components of standard form including the equation, vertex, axis of symmetry, maximum/minimum value, domain and range. It then demonstrates how to identify the a and b values in the standard form equation and plug them into the vertex form equation. Examples are provided for writing functions in vertex form and sketching parabolas using given information like the vertex or y-intercept.

1. 4.2 STANDARD FORM OF A
QUADRATIC FUNCTION
Part 2:Converting Forms, More Graphing, and
Interpreting Quadratics

2. SUMMARY OF STANDARD FORM
 Equation:
 Vertex:
 Axis of Symmetry:
 Maximum/Minimum Value:
 Domain:
 Range: OR
 y – intercept:

3. CONVERTING STANDARD FORM
TO VERTEX FORM
1. Identify a
2. Identify the vertex
Note:
3. Plug the values into the vertex form

4. WRITE EACH FUNCTION IN VERTEX FORM

5. WRITE EACH FUNCTION IN VERTEX FORM

6. EXAMPLE
 A model for a company’s revenue from selling
paper is where p is the price in
dollars of the paper. What price will maximize the
revenue? Find the maximum revenue.

7. EXAMPLE
 A farmer wants to fence in his farm. His property
has a rectangular shape and he plans to use an
existing wall as one of the sides. What is the
greatest area he can fence in using the 200ft of
fencing he has purchased?

8. SKETCH THE PARABOLA USING THE GIVEN
INFORMATION
 Vertex:
 y – intercept: 5

9. SKETCH THE PARABOLA USING THE GIVEN
INFORMATION
 Vertex:
 Point: