If g(x) =4x^2-16 were shifted 9 units to the right and 1 down, what would be the new equation

Step-by-step explanation: to shift a function to the right, we need to subtract as many units as we want to shift from the x (internal function), so if we want to shift the function 9 units to the right, we subtract 9 from the x. To shift a funtion down we need to subtract as many units as we want from the whole function (external function), so in order to shift the function 1 unit down, we subtract 1 from the function:

shifting to the right:

shifting down:

solving the square and the products:

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

109 trust me

step-by-step explanation: