mmetry and iXyE]Lumen OHM Assessment ohm.lumenlearning.com/assessment/showtest.p
ID: 3137165 • Letter: M
Question
mmetry and iXyE]Lumen OHM Assessment ohm.lumenlearning.com/assessment/showtest.php?action-skip&to;=18 : Symmetry and Transformations This assignment is past the original due date of Sun 03/04/2018 11:59 p The point (13, 10) is on the graph of y f() a) A point on the graph of y gz), where g(z) f(x) +11 is b) A point on the graph of y g) where g(z)f(x) is g(z) , where g(z) = g(z), where g(x) 8f(a) is g(z), where g(a) c) A point on the graph of y f(z) is d) A point on the graph of y e) A point on the graph of y f(z +11) is n) 1) A point on the graph of y g(z),where g(z) f-z) is 0.71) 1.64 Points possible: 3 This is attempt 1 of 3 10/3) Submit jump to Answer A' 8Explanation / Answer
Given that the point (13,10) lie on the graph of f(x).
We know that when f(x) transform to f(x)+a, it shift the graph of f(x) upward through 'a' units. it means increase in y coordinates by a unit.So
(a) A point on the graph of y=g(x),where g(x)=f(x)+11 is (13,10+11)=(13,21).
We know that when f(x) transform to -f(x), it turn the graph of f(x) by 180 degree about x axis that means the point (a,b) goes to (a,-b).So
(b) A point on the graph of y=g(x),where g(x)= -f(x) is (13,-10).
We know that when f(x) transform to 1/a f(x), it shrink the graph of f(x) a times along y axis that means the point (x,y) goes to (x,1/a y).So
(c) A point on the graph of y=g(x),where g(x)= 1/5 f(x) is (13,10/5)=(13,2).
We know that when f(x) transform to af(x), it stretch the graph of f(x) a times along y axis that means the point (x,y) goes to (x,ay).so
(d) A point on the graph of y=g(x),where g(x)= 8f(x) is (13,80).
We know that when f(x) transform to f(x+a), it shift the graph of f(x) towards right through 'a' units. it means increase in x coordinates by a unit.So
(e) A point on the graph of y=g(x),where g(x)=f(x+11) is (13+11,10)=(24,10).
We know that when f(x) transform to f(-x), it turn the graph of f(x) by 180 degree about y axis that means the point (a,b) goes to (-a,b).
(f) A point on the graph of y=g(x),where g(x)= -f(x) is (-13,10).
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