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.

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: