Answer : (a) g(x) = x^2 +6 was moved up by 6 units
(b) g(x)= x²-4 was moved down by 4 units
(c) g(x) = (x+3)^2 was shifted to the left by 3 units.
(d) g(x)= (x-4)² was shifted to the right by 4 units
Explanation :
Recall :
• ,In a function , ,to shift a function left,, add inside the function's argument(brackets)
,
• Similarly, to ,shift a function to the right, , subtract : f(x - b) shifts f(x) b units to the right.
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• To move the ,function up and down,, you simply add or subtract numbers from the whole function
(a) Parent graph :g(x) = x ^2 ,
• Then g(x) = x^2 +6 ,was moved up by 6 units
(b) Parent graph : x^2
• Then , g(x)= x²-4 ,was moved down by 4 units
(c) Parent graph = x^2
• Then , g(x) = (x+3)^2 ,was shifted to the left by 3 unit,s.
(d) Parent graph g(x) = x^2
• Then , g(x)= (x-4)² ,was shifted to the right by, ,4 units