Y= x2⁄3 how would u graph this

  • Thread starter rachael
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In summary, the equation Y=x2⁄3 represents a parabola with a square root function. To graph it, plot points on a coordinate plane and connect them with a smooth curve. The vertex is at (0,0) and changing the value of x shifts the graph horizontally. The graph can have negative values when x is negative.
  • #1
rachael
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y= x2⁄3
how would u graph this weird question without using a calculator?
 
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  • #2
rachael said:
y= x2⁄3
how would u graph this weird question without using a calculator?

Is that supposed to be x2/3? You could do the first and second derivative tests to get a general shape of the graph and then maybe plot a few points.
 
  • #3
What is the graph of a function rachael?
 

1. What does the equation Y=x2⁄3 represent?

The equation Y=x2⁄3 represents a parabola with a square root function. The value of x is raised to the power of 2⁄3, which is equivalent to taking the square root of x squared.

2. How do you graph Y=x2⁄3?

To graph Y=x2⁄3, first plot points on a coordinate plane for different values of x. Then, connect the points with a smooth curve to create the parabola. Make sure to include both positive and negative values of x to accurately represent the function.

3. What is the vertex of the graph of Y=x2⁄3?

The vertex of the graph of Y=x2⁄3 is (0,0). This is because when x=0, the value of Y is also 0. The graph will have a minimum point at the origin.

4. How does changing the value of x affect the graph of Y=x2⁄3?

Changing the value of x will shift the graph of Y=x2⁄3 horizontally. As x increases, the graph will shift to the right and as x decreases, the graph will shift to the left. However, the overall shape of the parabola will remain the same.

5. Can the graph of Y=x2⁄3 have negative values?

Yes, the graph of Y=x2⁄3 can have negative values. When x is a negative number, the value of Y will also be negative. This can be seen in the left side of the parabola, where x values are negative and the corresponding Y values are also negative.

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