If f(x)=2sqrt (x-3)+5 is changed to g(x)=-3sqrt (x+4)-1 select all the changes that occurred. x Reflection over the x-axis x Reflection over the y-axis The factor of the vertical stretch increased. x The factor of the vertical stretch decreased. A vertical compression occurred x The function shiffed right 7 units. The function shifted left 7 units. x The function shifted down units 1x 0. The function shifted up 6 units.

To determine the changes that occurred when the function is changed to , we need to compare the two functions and identify the transformations applied.Given: Let's analyze the changes:1. Reflection over the x-axis: - The coefficient of the square root term in is negative, indicating a reflection over the x-axis.2. Reflection over the y-axis: - There is no change in the sign of the variable inside the square root function, so there is no reflection over the y-axis.3. The factor of the vertical stretch increased: - The coefficient of the square root term in is -3, which is greater than the coefficient of 2 in . This indicates an increase in the vertical stretch factor.4. The factor of the vertical stretch decreased: - This is not applicable, as the vertical stretch factor increased.5. A vertical compression occurred: - This is not applicable, as the vertical stretch factor increased.6. The function shifted right 7 units: - The variable inside the square root function in is , which is 7 units to the left of in . This indicates a shift of 7 units to the left, not to the right.7. The function shifted left 7 units: - This is correct. The function shifted left 7 units.8. The function shifted down units: - The constant term in is -1, which is 6 units less than the constant term 5 in . This indicates a shift of 6 units down.9. The function shifted up 6 units: - This is not correct. The function shifted down 6 units.Therefore, the changes that occurred are:- Reflection over the x-axis- The factor of the vertical stretch increased- The function shifted left 7 units- The function shifted down 6 units