Complete the first three problems first. You will take some class notes, and then return to problems 4 and 5 to check your understanding before participating in an appointment book activity.
Team Investigation: The Quadratic Function Family
In the equation below, x represents the input. The letters, a, h, and k are parameters. In this investigation, you and your teammates will determine how each parameter affects the parent graph of the function
Use the Desmos graphing calculator to determine how each parameter affects the parent graph of the quadratic function y = x2.
You MUST agree with your team on how to answer each question.
Parameter k
When we move the slider for parameter k, the graph shifts .
When the value of k is positive, the graph shifts .
When the value of k is negative, the graph shifts .
Parameter h
When we move the slider for parameter h, the graph .
When the value of h is positive, the graph .
When the value of h is negative, the graph .
Parameter a
When we move the slider for parameter a, the graph .
When the value of a is greater than 1, the graph .
When the value of a is between 0 and 1, the graph .
When the value of a is negative, the graph .
With a partner, determine the values of the parameters for each graph below.
Show your work for calculating the value of parameter a for each graph in the spaces provided in your class notes.
GRAPH A
GRAPH B
The values for the parameters in the function for GRAPH A are:
parameter k =
parameter h =
parameter a =
The values for the parameters in the function for GRAPH B are:
parameter k =
parameter h =
parameter a =
Complete the sentence frame:
In your own words, describe how each parameter a, h, and k affect the quadratic function parent graph.
Finish the sentences below:
"Today, I learned..."
"I am still a bit confused about..."