This will be collected and graded as classwork on Thursday! Don't forget!
You will need a graphing calculator to answer the first three questions; if you do not have one, or you do not have an app, you can find the Desmos calculator linked on the right! This calculator will make these problems much easier! (They can, however, also be done by hand).
For the back (questions about the axis of symmetry), use the information given, or do some Googling to find more help with finding the axis of symmetry!
A student emailed me looking for some help on the front side--here's my response (below)! This might help if you're stuck!
Here's a little help for the front side.
The first thing you want to do is graph this function in a graphing calculator (if you don't have one, I strongly recommend the Desmos calculator--you can find a link to it on the right side of the blog).
We have three questions to answer here (on the front), all based on the picture of this graph. Also, notice that the picture at the bottom is labeled with a,b,c--these are visual representations of the questions a,b, and c.
So, for a, look at the graph of the function on the calculator. Which point represents when the child first has the ball? If you look at the graph, you might find a coordinate point, (x,y); so the next question is, if we want to list the height, should we look at the x or y coordinate? What does x represent? What does y represent? (read the context at the top!). You could also do this question by hand if you prefer--look at the hint!
As for b, we now want the maximum height. Find the coordinates of this point (the maximum) on our graph. Again, if we want to provide the height, should we give the x or y coordinate? (That's your decision!)
Finally, for c, we want to find the point where the ball hits the ground. Look at the graph on your calculator compared to the picture on this page to think about which point represents where the ball hits the ground. Now, we want to find the coordinates of this point, (x,y). For this question, we want to provide the distance, or how far from the child the ball hits the ground--is this our x or y coordinate?
I recommend the Desmos calculator (on the blog or the free app) because you can simply "tap/touch" these points and you will see the coordinates. If we use a TI83 or 84, we have to use the "Maximum" and "Zero" capabilities after we press 2nd-->TRACE.
Good luck! Do your best and be sure to have this done for tomorrow! Enjoy your day off!
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