Let f (x) = 3^x

Let g (x) (3^x-2) + 5

Which two statements describe the graph of g (x) with respect to the graph of f (x) ?

g (x) is translated 2 units right from f (x).

g (x) is translated 2 units left from f (x).

g (x) is translated 5 units down from f (x).

g (x) is translated 5 units up from f (x).

Question

Ezekiel Kirk

Mathematics

23 March, 04:28

Let f (x) = 3^x

Let g (x) (3^x-2) + 5

Which two statements describe the graph of g (x) with respect to the graph of f (x) ?

g (x) is translated 2 units right from f (x).

g (x) is translated 2 units left from f (x).

g (x) is translated 5 units down from f (x).

g (x) is translated 5 units up from f (x).

+3

Answers (1)

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Antony Villarreal · Answer 1

As your - 2 is directly affecting the x with addition/subtraction, it is a translation horizontally. To find direction, change the sign, from negative to positive, making it go right. This means it will be translated 2 units to the right, fitting the first statement. For your + 5, it is not directly affecting the x, making it a translation vertically. As it's positive, it goes up, making it a translation 5 units up, fitting statement 4. This makes your correct statements 1 and 4.

Let f (x) = 3^xLet g (x) (3^x-2) + 5Which two statements describe the graph of g (x) with respect to the graph of f (x) ?g (x) is translated 2 units right from f (x).g (x) is translated 2 units left from f (x).g (x) is translated 5 units down from f (x).g (x) is translated 5 units up from f (x).