Green+Globs

Green Globs:

Quadratics:

GREEN GLOBS 1 GREEN GLOBS 2 GREEN GLOBS 3 GREEN GLOBS 4

Click on the graph that comes up.
 * PROBLEM #1**
 * 1.** Right click "Green Globs 1" and open it in a new tab or window (so you can still read the directions)

On the upper right, select OPTIONS and then PROJECTOR MODE. This will make everything easier to see and do. On the left side of the page is a place to type in an equation to be graphed. Change y=x into y=-2x+3. This equation passes through one of the points, but not BOTH. Try changing the numbers so you can find an equation that passes through both points.
 * 2.** What pops up is the DESMOS graphing calculator with the equation y=x graphed, and points at (4, -5) and (-2,3).
 * __CHALLENGE:__**

Delete the equation. Type this equation instead: y=ax+b A couple buttons pop up under the graph called “SLIDERs”…..click the “all” button. Now, instead of retyping the equation with different numbers, you can change the values by moving the slider.
 * 4.** Rather than re-typing that equation over and over with slightly different numbers, try this:

Activate all 3 sliders.
 * 5.** Now type this equation: y=ax^2+bx+c (standard quadratic form)
 * __CHALLENGE:__** Find a quadratic equation that passes through both points

PROBLEM #2 Do the same thing, but… go into GreenGlobs2, and use an equation in FACTORED FORM y = a (x-b)(x-c)

PROBLEM #3 Do the same thing, but… go into GreenGlobs3, and use an equation in VERTEX FORM y = a (x-h)^2+k

PROBLEM #4 Do the same thing, but… go into GreenGlobs4, and use an equation in ANY FORM YOU WANT… but must hit all 3 points.