Student Solution

-->

"Education is the most powerful weapon which you can use to change the world”
– Nelson Mandela

1 University

1 Course

1 Subject

Week 2 Translation Application

Week 2 Translation Application

Q Investigate the Graphs of Quadratic Functions In this activity you will investigate the graphs of quadratic functions in the form f(x) = a(x - h)2 + k You will be assessing the changes in both the shape and position of the graph. Procedures ? Go to the Desmos online graphing calculator. Link: https://www.desmos.com/calculator/ • In the first space on the left type in the equation above. ? Click on “all sliders” to enable them. You can now adjust the values of a, h, and k manually. First focus on a. ? Set both h and k to zero. Change the value of a (make it both positive and negative). 1. On your paper describe in complete sentences how a affects the shape and position of the graph. Please describe all the noticeable effects as clearly as you can. Now focus on k. ? Set a = 1 and h = 0. Change the value of k (make it both positive and negative). 2. On your paper describe in complete sentences how k affects the shape and position of the graph. Please describe all the noticeable effects as clearly as you can. Focus on h. ? Set both a =1 and k = 0. Change the value of h (make it both positive and negative). 3. On your paper describe in complete sentences how h affects the shape and position of the graph. Please describe all the noticeable effects as clearly as you can.

View Related Questions

Solution Preview

1. “a” can make the parabola negative or positive. When “a” is “0”, the graph is a horizonal line on the y=0. When “a’ is a positive number, the parabola becomes positive and when it’s a negative number, the parabola is negative. Also, no matter what the number is, the graph will always pass through (0,0) on the graph. 2.“k” determines where the graph crosses the y-axis. The graph will cross the y-axis at the value of “k”. If k = 5 then the y-intercept is y=5. Also, if k = -2 then the y-intercept is y = -2. 3.“h” determines the x-intercept. If “h” is positive then the y-incept will be positive and the opposite applies as well.