Which of the following functions represents the following graph?

graph begins in the third quadrant and increases until it levels off at negative 2, negative 1. Then the graph begins to increase again and continues to increase.

f(x) = the square root of the sum of x and 2 – 1

f(x) = (x + 2)2 – 1

f(x) = negative 1 over x plus 2

f(x) = (x + 2)3 – 1

Question

Which of the following functions represents the following graph? 

graph begins in the third quadrant and increases until it levels off at negative 2, negative 1. Then the graph begins to increase again and continues to increase.

 f(x) =  the square root of the sum of x and 2 – 1

 f(x) = (x + 2)2 – 1

 f(x) =  negative 1 over x plus 2

 f(x) = (x + 2)3 – 1

terenzreignz · Answer

Don't we have to see the graph? :)

terenzreignz · Answer

Or there is no visible graph?

anonymous · Answer

oh yea

terenzreignz · Answer

I hate these kinds of questions, lol...
Do you know what the graph of a quadratic (square) looks like?

anonymous · Answer

Nah uhh all is gave me was that graph and the answers.

terenzreignz · Answer

Okay, you can clearly see that this function passes (-2,-1) right?

cruffo · Answer

This may help http://faculty.gg.uwyo.edu/dueker/GeophysicsClass/Math%20Review/IG%20parent%20functons.pdf Note that the shape makes is look like $f(x) = x^3$ but it has been transformed.

cruffo · Answer

Are you familiar with transformations?  Like "shifted down 1 and to the left 2"?

anonymous · Answer

Yea i figured it was D

cruffo · Answer

good!