Questions: Suppose the graph of y=x^(5/2) is shifted to the right 3 units. What is the equation that gives the new graph?

Solution Steps

To shift the graph of a function to the right by a certain number of units, you subtract that number from the variable \( x \) in the function. For the function \( y = x^{\frac{5}{2}} \), shifting it 3 units to the right results in the equation \( y = (x-3)^{\frac{5}{2}} \).

The original function is given by: \[ y = x^{\frac{5}{2}} \]

To shift the graph of the function to the right by 3 units, replace \( x \) with \( x - 3 \): \[ y = (x - 3)^{\frac{5}{2}} \]

Final Answer