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

solution:

→c= a b , that is product of a and b is possible only when when a is m × n matrix and b is n × p matrix.

that is, number of columns of a= number of rows of b.

so, size of matrix , c= a b is , if a = (m × n)matrix

b= (n × p)matrix

then a b = [ (m × n)matrix] ×[   (n × p)matrix ]

→→c= a b= [m × p ] matrix

→→size of product a b will be equal to = number of rows of a × number of columns of b