PLEASE HELP --- Describe the transformations performed on the graph of f(x)=|x| in order to produce the graph of g(x)=|x|−4. Explain.(1 point)

A) The graph of f(x) must be translated 4 units to the left to produce the graph of g(x). This is because g(x)=f(x−4), which implies a rightward shift of f(x).

B) The graph of f(x) must be translated 4 units down to produce the graph of g(x). This is because g(x)=f(x)−4, which implies a downward shift of f(x).

C) The graph of f(x) must be translated 4 units to the left to produce the graph of g(x). This is because g(x)=f(x)−4, which implies a leftward shift of f(x).

D) The graph of f(x) must be translated 4 units to the left to produce the graph of g(x). This is because g(x)=f(x−4), which implies a downward shift of f(x).

Please help - I will give

Thank you! :)

step-by-step explanation:

(s)he  is right it would be 5.5% because it is smaller than 15.5% or anything smaller than 15.5% in general

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1