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.

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.