F(x) = x2 – 3x – 2 is shifted 4 units right. the result is g(x). what is g(x)? g(x) = (x + 4)2 – 3x – 2 b. g(x) = (x + 4)2 – 3(x + 4) – 2 c. g(x) = (x – 4)2 – 3(x – 4) – 2 d. g(x) = x2 – 3x + 2

Hello from MrBillDoesMath!

Choice C

Discussion:

We interrupt this Question by a special commercial announcement Consider the simpler case of f(x) = x^2. If we shifted this curve 4 units to the right, then the point x is mapped to x-4.  (f(0) = 0 on the original curve; now f(x-4) = 0 when x =4. So shifting to the right replaces x by x-4.) Now back to our regular TV programming

Shifting f(x) = x^2 -3x - 2 four units to the right produces

g(x) = f(x-4) = (x-4)^2 -3(x-4) -2

This is choice C.

Thank you,

MrB

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.