reflecting and shifting graphs questions

Which common graph would you use to help graph the function http://www.intervisualtechnology.us/data/1/15368/U3L5Q1A1.jpg

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http://www.intervisualtechnology.us/data/1/15369/U3L5Q1A2.jpg

http://www.intervisualtechnology.us/data/1/15370/U3L5Q1A3.jpg

http://www.intervisualtechnology.us/data/1/15371/U3L5Q1A4.jpg

Which common graph would you use to help graph the function g(x) = x2 – 3


http://www.intervisualtechnology.us/data/1/15368/U3L5Q1A1.jpg

http://www.intervisualtechnology.us/data/1/15369/U3L5Q1A2.jpg

http://www.intervisualtechnology.us/data/1/15370/U3L5Q1A3.jpg

http://www.intervisualtechnology.us/data/1/15371/U3L5Q1A4.jpg

Compared to the graph of its common function, describe the transformation of the  following: g(x) = -x2 + 2 


Reflected with respect to x-axis, translated right 2 units.

Reflected with respect to x-axis, translated left 2.

Reflected with respect to x-axis, translated up 2.

Reflected with respect to x-axis, translated down 2.

Compared to the graph of its common function, describe the transformation of the following: g(x) = http://www.intervisualtechnology.us/data/1/15372/U3L5Q6A1.jpg

http://www.intervisualtechnology.us/data/1/15373/U3L5Q6A2.jpg

http://www.intervisualtechnology.us/data/1/15374/U3L5Q6A3.jpg

http://www.intervisualtechnology.us/data/1/15375/U3L5Q6A4.jpg

Which of the following shows the graph of h(x) = -|x + 2| + 3?


http://www.intervisualtechnology.us/data/1/15376/U3L5Q7A1.jpg

http://www.intervisualtechnology.us/data/1/15377/U3L5Q7A2.jpg

http://www.intervisualtechnology.us/data/1/15378/U3L5Q7A3.jpg

http://www.intervisualtechnology.us/data/1/15379/U3L5Q7A4.jpg

Find f(x – 4) + 1 for the graph, f(x), shown below. 


http://www.intervisualtechnology.us/data/1/15381/U3L5Q8a.jpg

http://www.intervisualtechnology.us/data/1/15382/U3L5Q8b.jpg

http://www.intervisualtechnology.us/data/1/15383/U3L5Q8c.jpg

http://www.intervisualtechnology.us/data/1/15384/U3L5Q8d.jpg

Find f(x – 1) + 2 for the graph, f(x), shown below.


http://www.intervisualtechnology.us/data/1/15386/U3L5Q9A1.jpg

http://www.intervisualtechnology.us/data/1/15387/U3L5Q9A2.jpg

http://www.intervisualtechnology.us/data/1/15388/U3L5Q9A3.jpg

http://www.intervisualtechnology.us/data/1/15389/U3L5Q9A4.jpg

The following graph shows a transformation of the function f(x) = x2. Which function shows g(x), the equation of the transformed graph? 


g(x) = -(x+2)2 +2

g(x) = -(x-2)2 -2

g(x) = -(x-2)2 +2

g(x) = -(x+2)2 -2

(answers only)

 

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