The right option is A.The function g(x) = -1/3(x - 7) + 2 is obtained from the function f(x) = x by shifting it to the right 7 units, shifting it upward 2 units, and vertically compressing it by a factor of -1/3. It is not reflected over the x-axis.
To obtain the function g(x) = -1/3(x - 7) + 2 from the linear parent function f(x) = x, several transformations have been applied. Let's analyze each option to identify the transformation that was not done:
A. Reflected over the x-axis: This transformation is not present in the given function. The graph of f(x) = x is not reflected over the x-axis in g(x) = -1/3(x - 7) + 2.
B. Shifted left 7 units: This transformation is present in the given function. The graph of f(x) = x has been shifted to the right by 7 units in g(x) = -1/3(x - 7) + 2.
C. Shifted up 2 units: This transformation is present in the given function. The graph of f(x) = x has been shifted upward by 2 units in g(x) = -1/3(x - 7) + 2.
D. Vertically compressed by a factor of 3: This transformation is present in the given function. The graph of f(x) = x has been vertically compressed by a factor of -1/3 in g(x) = -1/3(x - 7) + 2.
Therefore, the transformation that was not done to the linear parent function f(x) = x to obtain the function g(x) = -1/3(x - 7) + 2 is A. Reflected over the x-axis.
The question probable may be:
What transformation was not done to the linear parent function, f(x)=x, , to get the function g(x)=- 1/3 (x-7)+2
A. Reflected over the x-axis
B. Shifted left 7 units
C. Shifted up 2 units
D. Vertically compressed by a factor of 3