Quadratic function graph
In this exploration, you are to determine what is the effect of the changing coefficients and constant of the quadratic functions to its graph.
Follow the instructions below and give response to all of the questions.
You are given a parent function of the quadratic function in the form of . Change the value of a by sliding the slider.
Q.1
Look at to the value of a, when the graph is concave up or down?
Q.2
Look at to the value of a, when the graph is narrower or wider?
In the following, you are given a graph of for different values of c between -10 to +10. Change the value of c by moving the slider c and keep the value of slider a unchanged.
Q.3
Explain, what happen to the graph when you change the value of c.
In the following, you are given a graph of for different values of a, b, and c between -10 to +10.
Change the value of b by moving the slider b and keep the value of slider a and c unchanged.
Q.4
Describe the effect of changing the value of b to the graph.
Use your findings to describe the similarities and differences in the shape of the graphs of each pair of quadratic functions below.
f(x) g(x) similarities differences