In the xy-plane, which of the following is an equation whose graph is

Question

In the xy-plane, which of the following is an equation whose graph is the graph of y = x^2/3 translated three units horizontally and to the left?

(A) y = x^2

(B) y = x^2/3 + 3

(C) y = x^2/3 - 3

(D) y = (x - 3)^2

(E) y = (x + 3)^2

Bunuel · Answer

Sorry! There was a typo in the question. Edited. The question is:

In the xy-plane, which of the following is an equation whose graph is the graph of  y = x^2/3  translated three units horizontally and to the left?

siriusly · Answer

Hi  Bunuel , could you provide the solution? Thank you!

plaverbach · Answer

I have no paper here, but just plugin this in the answer:
Y=0
X=-3

The one that gets you 0=0 is the right one
Therefore, e

Posted from my mobile device

imeanup · Answer

y = \frac{x^2}{3} , and the shape of this graph is a parabola. As per the question, "translated three units horizontally and to the left". Only the  x  coordinates should be translated horizontally and to the left by  3  units, for e.g. if the coordinates are  (x,y) , then  (x-3,y) .
In Parabola, we need to shift the graph to the left by 3 units as shown in the attached screenshot. The Parabola in  "Green"  i.e.  y = (x+3)^2 shows the shift by 3 units to the left for the equation  y = \frac{x^2}{3} .
 Ans E

Note :  Please observe the graph for better understanding.

ScottTargetTestPrep · Answer

Solution:

When the graph of y = f(x) is translated k (where k > 0) units horizontally to the left, the new graph has the equation y = f(x + k). Here, we have y = f(x) = x^2/3 and k = 3; therefore, the new graph has the equation y = f(x + 3) = (x + 3)^2/3.

(Note that no answer choice is correct, but it is fairly obvious that choice E is the intended correct answer. It shows the horizontal translation correctly, but it does not contain the coefficient a = ⅓ that was present in the original function. We see that choices B and C display a vertical shift and choices D and E display a horizontal shift. Choice D is a shift to the right, and choice E displays the desired shift to the left.)

Answer: E

In the xy-plane, which of the following is an equation whose graph is

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GMAT Problem Solving (PS) Questions

In the xy-plane, which of the following is an equation whose graph is

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