The parent cubic function f(x) = x^3 is translated to the form g(x) = (x - 4)^3 - 2. This means the points are shifted right 4 and then down 2.

The point (0,0) on the graph of f(x) corresponds to what point on the graph of g(x)?

Answer choices:
A. (4, -2)
B. (-4, 2)
C. (-4, -2)
D. (-2, -4)

Option A.  (4, -2)

Step-by-step explanation:

Here we have the transformation such that the points are shifted right 4 and then down 2.

We originially have the point (0, 0)

This means that when x = 0, we have f(0) = 0

such that:

f(0) = 0^3 = 0.

Now we have the function:

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

The equivalent point to the point (0, 0) is such that the input of the function g(x) (the input is (x - 4)) is equal to the input on the original point (x = 0)

The new input is equal to zero when x = 4.

Such that:

g(4) = (4 - 4)^3 - 2 = (0)^3 - 2 = -2

Then we have the point x = 4, y = -2, or (4, -2)

Then the correct option is A.

1.) (sec x)(cot x) = (hypotenuse/adjacent)(adjacent/opposite) =

(hypotenuse/opposite)

2.) cot 50 = x/6

x = 6 cot 50

3.) tan y

4.) cos x = (12/13)x = 22.62 degrees

5.) sin y = 5/14y = 20.92

6.) sin 30 = (1/h)h = 2 meters

7.) cos 0° = 1, because the cosine and sine are complements

8.) sin y = (a/6) ; tan y = (a/b)

cos y = (b/6)

9.) tan 50 = (ac/3)

ac = 3 tan 50

10.) sin 40 = (h/220)h = 220 sin 40