What is the equation of the translated function, g(x), if
f(x) = x-?
g(x) = (x + 5)2 + 2
g(x) = (x + 2)2 + 5
g(x) = (x - 2)2 + 5
g(x) = (x – 5)2 + 2
ut

Last option.

Step-by-step explanation:

Below are shown some transformations for a function :

1. If   the function is translated "k" units up.

2. If   the function is translated "k" units down.

3. If   the function is translated "k" units to the left.

4. If the function is translated "k" units to the right.

In this case, you can observe in the graph that the vertex of the parabola (function ) is at the following point:

And the vertex of the translated parabola (function ) is at this point:

Therefore, based on the transformations explained before, you can identify that the function is obtained by translating the function 5 units to the right and 2 units up.

Then, the equation of the function is:

a line is an defined derm because it

a)contains an infinite number of points b) can be used to create other geometric shapes c)describes something that does not have width or depth d) is a term that does not have a formal definition. a line is an undefined term because it: contains an infinite number of points.

proofs involving isosceles triangles often require special consideration because an isosceles triangle has several distinct properties that do not apply to normal triangles.(more about triangle types) therefore, when you are trying to prove that two triangles are congruent, and one or both triangles, are isosceles you have a few theorems that you can use to make your life easier.

step-by-step explanation:

an isosceles triangle has two congruent sides and two congruent angles. the congruent angles are called the base angles and the other angle is known as the vertex angle. ∠bac and ∠bca are the base angles of the triangle picture on the left. the vertex angle is ∠abc