The parent function y=x is a linear function with a slope of 1 and y-intercept of 0.
The function y=2√(x+2)-3 is obtained from the parent function y=x through the following transformations:
1. Horizontal translation: The function is shifted 2 units to the left due to the "+2" inside the square root function.
2. Vertical translation: The function is shifted 3 units downward due to the "-3" outside the square root function.
3. Vertical stretching: The square root function is multiplied by 2, which stretches the graph vertically by a factor of 2.
4. No change in the slope: The slope of the function remains the same, as the coefficient of x is still 1.
Overall, the graph of y=2√(x+2)-3 is a horizontally shifted, vertically stretched, and vertically translated version of the parent function y=x.
8. Explain the transformations of the graph y=2 3 sqrtx+2-3 from its parent function y=x.
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