Quadratic Functions Worksheets With Answers (Page 4 of 5) in pdf

Quadratic Functions Worksheets With Answers Page 4

Your Turn

Consider the function y = 2x

– 12x + 13.

a) Complete the square to determine the vertex and the maximum or minimum value of the

function.

b) Use the process of completing the square to verify the relationship between the value of p in

vertex form and the values of a and b in standard form.

c) Graph the quadratic function in the grid provided.

Example 4) The student council at a high school is planning a fundraising event with a professional

photographer taking portraits of individuals or groups. The student council gets to charge and keep a

session fee for each individual or group photo session. Last year, they charged a $10 session fee and 400

sessions were booked. In considering what price they should charge this year, student council members

estimate that for every $1 increase in the price, they expect to have 20 fewer sessions booked.

a) Write a function to model this situation.

b) What is the maximum revenue they can expect based on these estimates. What session fee will

give that maximum?

c) How can you verify the solution?

d) What assumptions did you make in creating and using this model function?

Quadratic Functions Worksheets With Answers Page 4