a) Complete the chart below to compare y=-3(x+4)^2-2 to y=a[k(x-d)]n +c.

Question

b) Describe the effects of a, k, d and c on the original curve y=x^2.

CHART (doing my best to make a chart)

y=x^2 / y=-3x^2 / y=-3(x+4)^2-2
------ / ------- / -------------
/ /
(-2,4) / /
--------/-------------/-----------------
(-1,1) / /
--------/-------------/-----------------
(0,0) / /
--------/-------------/-----------------
(1,1) / /
--------/-------------/-----------------
(2,4) / /
--------/-------------/-----------------
(3,9) / /
--------/-------------/-----------------

Answer 1

I suggest you visit wolframalpha.com and play around with the parameters, comparing the graphs. By saying

plot y=x^2,y=(x-2)^2+5 where x=-10..10

you can show multiple curves, and specify the domain.

Or, you can visit

http://rechneronline.de/function-graphs/

where you can plot up to three curves at once.