Standard Form Exploration
01
During this project you will explore the different parameters given by the standard form of linear and quadratic equations. By the time you finish you should be able to explain what each parameter does when made larger, smaller, or negative in both linear and quadratic equations.
Project #1:
Into the fire with
Standard Form
Return to the Den and find your way to Standard form (hint: look at the picture). Then click on the button labeled linear and use the "m" and "b" bars to make the lines overlap. Then click new line and repeat four times or until you see a correlation between the parameters (m and b) and the movement of the line. Record on paper the graph of the red line and the equation you found as well as your thought on the actions of the parameters.
Part One: Play with linear Graphs
when m is positive the ____ is _____
when m is negative the ____ is _____
when m gets larger ____ gets _____
.
.
.
y=(-2)x+4
Example
Part 2: Playing with Quadratic Graphs
Repeat part one but replace linear with quadratic now looking for the parameters a,p, and q. Also you will need to click test yourself for the second graph to appear. (remember which picture to go to -->)
y=1x^2+0x+0
when p is positive the ____ is _____
when p is negative the ____ is _____
when p gets larger ____ gets _____
.
.
.
Example
Part 3: The write up
Write a couple paragraphs explaining what you think the correlation between the parameters of standard form and the position of the graph.
​
When complete email all parts 1,2, and 3 to the hand in email.
​
you can find it here.