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.

Respuesta :

Answer:

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  

[tex]y=ab^{2}[/tex].  

If our equation is [tex]f(x)=2^x[/tex], 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.

[tex]y=2*2^{x}[/tex]  this is A.


Answer:

A

Step-by-step explanation:

i took the test so i hope this helps :}