Answer:
(-12, 5), (12, -5)
Step-by-step explanation:
Reflection across the origin is the transformation ...
(x, y) ⇒ (-x, -y)
Look for coordinates that are the opposites of their counterparts. You will find the appropriate answer choice is ...
(-12, 5), (12, -5)
<em>Greetings from Brasil...</em>
In this problem we have 2 translations: 4 units horizontal to the left and 3 units vertical to the bottom.
The translations are established as follows:
→ Horizontal
F(X + k) ⇒ k units to the left
F(X - k) ⇒ k units to the right
→ Vertical
F(X) + k ⇒ k units up
F(X) - k ⇒ k units down
In our problem, the function shifted 4 units horizontal to the left and 3 units vertical to the bottom.
F(X) = X³
4 units horizontal to the left: F(X + 4)
3 units vertical to the bottom: F(X + 4) - 3
So,
F(X) = X³
<h2>F(X + 4) - 3 = (X + 4)³ - 3</h2>
The volume (when x = 10) would be 1,000 cubic units (10^3).
The slope of GH is 1, so any line parallel to GH will have the same slope.
Since this other line passes through (-5,6), you can use the point-slope formula:
so you are correct.
