Question

What was done to the linear parent function, f(x) = x, to get the functiong(x) = _x?A. Horizontally compressed by a factor of 7B. Shifted unit upC. Vertically compressed by a factor of 7D. Vertically stretched by a factor of 7SUBMIT

Answer 1

The parent function is

`f(x)=x`

After a transformation the function g(x) was determined:

`g(x)=(1)/(7)x`

The function f(x) was multiplied by a constant k=1/7 to determine the function g(x), you can express the transformation as follows:

`g(x)=(1)/(7)f(x)`

The fact that the function was multiplied by a constant, indicates that the transformation is a vertical dilation. To know if its a vertical stretch or a vertical compression you have to look at the magnitude of the constant:

If |k|>1, then the transformation is a vertical stretch.

If 0<|k|<1, then the transformation is a vertical compression.

For the given transformation, the constant is greater than zero but less than one, which indicates that the transformation applied was a vertical compression, the factor of the compression is given by the denominator of the fraction, which is 7.

The correct option is C.