Which function represents transforming f(x)=3^x with a reflection over the x-axis and a vertical shift of 4 units? 3^x+ 4, -3^x+ 4, 3^x-4, -3^x+4

Step-by-step explanation:

The equation for the vertical reflection of a function f(x) across the x-axis is given by :-

The vertical shift of 'k'  units of a function g(x) is given by :-

Now, the equation for the vertical reflection of a function across the x-axis is given by :-

Then , the equation for the vertical shift of 4 units of function is given by :-

Hence, the function represents transforming with a reflection over the x-axis and a vertical shift of 4 units

a4 - 3a2 - 1

step-by-step explanation:

step   1   :

equation at the end of step   1   :

  ((a4) -   3a2) -   1

step   2   :

trying to factor by splitting the middle term

2.1     factoring   a4-3a2-1  

the first term is,   a4   its coefficient is   1 .

the middle term is,   -3a2   its coefficient is   -3 .

the last term, "the constant", is   -1