Which equation represents f(x)? f(x) = Negative RootIndex 3 StartRoot x EndRoot f(x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot f(x) = Negative RootIndex 3 StartRoot negative x EndRoot minus 1 f(x) = Negative RootIndex 3 StartRoot negative x EndRoot

Option D is correct.

f(x) = -∛(-x)

f(x) = Negative RootIndex 3 StartRoot negative x EndRoot

Step-by-step explanation:

Complete Question

The graph shows the function f(x). On a coordinate plane, a cube root function goes through (8, 2). Which equation represents f(x)?

A) f(x) = Negative RootIndex 3 StartRoot x EndRoot,

B) f(x) = Negative RootIndex 3 StartRoot x minus 1 EndRoot

C) f(x) = Negative RootIndex 3 StartRoot negative x EndRoot minus 1

D) f(x) = Negative RootIndex 3 StartRoot negative x EndRoot

Solution

The options written in mathematical equation form, give

A) f(x) = -∛(x)

B) f(x) = -∛(x-1)

C) f(x) = [-∛(-x)] - 1

D) f(x) = -∛(-x)

- The curve is said to pass through (8, 2).

We can then investigate, which of these cube root functions satisfies this function. Which one has f(8) = 2. We take the options one at a time.

A) f(x) = -∛(x)

f(8) = -∛(8) = -2 ≠ 2

Hence, this option isn't correct.

B) f(x) = -∛(x-1)

f(8) = -∛(8-1) = -∛(7) = -1.913 ≠ 2

Hence, this option isn't correct.

C) f(x) = [-∛(-x)] - 1

f(8) = [-∛(-8)] - 1 = -(-2) - 1 = 2 - 1 = 1 ≠ 2

Hence, this option isn't correct.

D) f(x) = -∛(-x)

f(8) = -∛(-8) = -(-2) = 2 = 2

Hence, thus is the correct option.

Hope this Helps!!!

The answer is D

Step-by-step explanation:

I just took the quiz on Edge.

The coordinates of point A after both transformations becomes (0, 3)

Step-by-step explanation:

Translation 4 units down is equivalent to -4 units in the y direction, therefore, we have;

A(-3, 4), B(6, 4), and C(2, -3) becomes

A(-3, 4 - 4), B(6, 4 - 4), and C(2, -3 - 4) which is A(-3, 0), B(6, 0), and C(2, -7)

Rule on operation on coordinates due to rotation of a triangle 90° clockwise is as follows;

For vertex coordinate, (x, y), we change it to (y, -x)

Therefore, we have the coordinates of the point A(-3, 0) after a rotation of 90° clockwise becomes A(0, 3).