Question

Select the transformations of the graph of the parent rational function that result in the graph of g(x) = 1/ 2(x-3) + 1

a. Horizontal stretch by a factor of 2 Yes ___ No ___
b. Horizontal compressions by a factor of ½ Yes ___ No ___
c. Vertical stretch by a factor of 2 Yes ___ No ___
d. Vertical compression by a factor of ½ Yes ___ No ___
e. Translation 1 unit up Yes ___ No ___
f. Translation 1 unit down Yes ___ No ___
g. Translation 3 units right Yes ___ No ___ h. Translation 3 units left Yes ___ No ___

Answer 1

a. No

b. No

c. No

d. Yes

e. Yes

f. No

g. Yes

h. No

Explanation:

∵ When g(x) multiplying by a number < 1, then it compressed vertically

∴ a. , b. and c. No but d. Yes

∵ When the graph translated up b units we add g(x) by b

∴ e. Yes f. No

∵ When the graph translated right a units we put x-coordinate

of the function minus a

∴ g. Yes and h. No