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.

A

Step-by-step 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  

.  

If our equation is , 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.

 this is A.

step-by-step explanation:

step-by-step explanation:

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