The parent function is f (x) = 2^x-6+3 and the new function is g (x) = 2^x - 3+2.

How does the graph change from f (x) to g (x) ?

Select each correct answer.

The graph is shifted 3 units right.

The graph is shifted 1 unit up.

The graph is shifted 1 unit down.

The graph is shifted 3 units left.

Question

Mathematics

Taylor Conley

Today, 11:30

The parent function is f (x) = 2^x-6+3 and the new function is g (x) = 2^x - 3+2.

How does the graph change from f (x) to g (x) ?

Select each correct answer.

The graph is shifted 3 units right.

The graph is shifted 1 unit up.

The graph is shifted 1 unit down.

The graph is shifted 3 units left.

+5

Answers (1)

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Zaid · Answer 1

The graph is shifted 3 units to the right and 1 unit down. f (x) has a - 6 and g (x) has a - 3, since the negative number is decreasing, its value is increasing meaning the vertex moving towards the positive numbers. It's 1 unit down because + 3 goes to + 2 and there's only a decrease of one.

The parent function is f (x) = 2^x-6+3 and the new function is g (x) = 2^x - 3+2.How does the graph change from f (x) to g (x) ?Select each correct answer.The graph is shifted 3 units right.The graph is shifted 1 unit up.The graph is shifted 1 unit down.The graph is shifted 3 units left.