Shifting to left mean adding the number from each occurrence of x from the given function.
So, shifting x³ , 3 units to left will result in:
f(x) = (x + 3)³
Shifting down means subtracting the number from the function value.
So, shifting 2 units down will result in:
f(x) = (x + 3)³ - 2
Therefore, option A is the correct graph
The writing isnt so clear to me
So we know that:
3(-8 + 4v) = 8v
To find v, first simplify the left hand side:
-24 + 12v = 8v
Then group the "v's" over to the right:
-24 = -4v
-6 = -v
So v = 6
Hope this helped
Answer:

Explanation:
Here, we want to get the value of sine S
The sine of an angle is the ratio of the opposite side to the hypotenuse side
The hypotenuse side is the side that faces the right angle which is the small box. It is the longest side of the triangle and it measures 10
The opposite is the side that faces the angle which is 6
We have the sine as:
Answer:
<em>Length of x ⇒ ( About ) 11.5; Option C</em>
Step-by-step explanation:
<em>~ Let us plan this question step-by-step. We know that the line segment with length 13.1 is a radii to the circle, as well as a hypotenuse to a right triangle. Respectively the hypotenuse of another triangle is a hypotenuse as well. By radii ≅, these two part of these two triangles are ≅ ~</em>
1. If these two parts are ≅, the triangle with leg x has a hypotenuse of 13.1 as well ( through ≅ ). This would mean that Pythagorean theorem is applicable for this triangle, as to solve for line segment x.
2. By Pythagorean Theorem ⇒
6.2^2 + x^2 = 13.1^2,
38.44 + x^2 = 171.61,
x^2 = 133.17
<em>Length of x ⇒ ( About ) 11.5</em>