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Consider the function f(x)=2^x . What effect does multiplying the output by 2 have on the graph of the function?

A. Stretches the graph vertically by a factor of 2.

B. Compresses the graph horizontally by a factor of 12 .

C. Compresses the graph vertically by a factor of 12 .

D. Shifts the graph left 2 units.

E. Stretches the graph horizontally by a factor of 2.

F. Shifts the graph up 2 units.

2 Answers

4 votes

Answer:

A

Explanation:

i took the test so i hope this helps :}

User Mike Schilling
by
8.7k points
7 votes

Answer:

A

Explanation:

A vertical stretch of a function means the output values have changed by a factor or multiplication by a number. Recall, an exponential function has the basic form


y=ab^(2).

If our equation is
f(x)=2^x, then a=1. To stretch it vertically by a factor of 2, we multiply a by 2. So 1(2)=2. The value of a now becomes 2. This means the output values are doubled each time and the function increase much faster and stretches vertically.


y=2*2^(x) this is A.


User Mike Upjohn
by
8.1k points
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