shifting and reflecting graphs practice questions

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Question description

Which common graph would you use to help graph the function f left parenthesis x right parenthesis space equals negative space square root of x minus 3 end root space plus 2 ?


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



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) = square root of x minus 3 end root plus 2


translated three units left and two units up.

translated three units right and two units up.

translated two units right and three units down

translated two units right and three units up.



Compared to the graph of its common function, describe the transformation of the following: g(x) = |x + 3| ­- 1


translated three units left and one unit down.

translated three units right and one unit down.

translated one unit left and three units up.

translated one unit left and three units down.



Which of the following shows the graph of the function g(x) = (x ­-1)2 - 2?


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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(Top Tutor) Daniel C.
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