I need help with this algebra question

The translated function is f(x)=∛(x+6)+1. Therefore, option A is the correct answer.

What is the translation?

A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions.

The given function is y=∛x.

Draw the graph of the parent function y=∛x, as shown in the attached figure.

A few important point will be enough: (0, 0), (1, 1), (-1, -1), (8, 2), (-8, -2)

2. (0, 0) is an important point of the parent function, because as we go from the left to the right, the graph is concave up, than at (0, 0) it switches to concave down.

This point is called an inflection point, and in this function there is clearly only one.

3. The inflection point (0, 0) of the parent function  has been translated to (-6, 1), so all points have been shifted 6 units left and one unit up.

Therefore, option A is the correct answer.

To learn more about the translation visit:

brainly.com/question/17485121.

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Answer:

f(x) =   + 1

Step-by-step explanation:

Whenever addition or subtraction occurs within the cube root, it moves horizontally; the opposite is done for the translation, thus if it is addition, which in this case it is, instead of moving the positive direction, the function moves the negative direction.

As opposed to addition or subtraction outside of the cube root, it moves vertically, and in this case, it is translated exactly as stated. Here it states addition, thus the graph moves up in one unit.

The origin of the parent function is at ( 0, 0), in contrast, the origin of the function is at ( -6, 1 )

By using what we know, we can determine that the answer will be f(x) =   + 1 since we know that the inside of the cube root should be the opposite of the x value and the outside of the cube root should be the same.

Answer:

(-6, 0)

Step-by-step explanation:

Check out A):  (-6,0).  This satisfies 2y-2x=12:  2(0) - 2(-6) = 12, and also satisfies x^2+y^2=36:  (-6)^2 + 0^2 = 36.  (-6, 0) is therefore a solution of the given system.

Isolate the x. Add 3 to both sides

x - 3 (+3) < -2 (+3)

x < -2 + 3

Simplify

x < (-2 + 3)

x < 1

x < 1 is your answer

hope this helps