Question

What transformations produce the graph of g(x)= - |5x|

A. Reflection across the y-axis and vertical compression by a factor of 5
B. Reflection across the x-axis and vertical compression by a factor of 5
C. Reflection across the x-axis and vertical stretch by a factor of 5
D. Reflection across the y-axis and vertical stretch by a factor of 5

Answer 1

The transformations that produce the graph of g(x) = -|5x| are a reflection across the x-axis and a vertical stretch by a factor of 5.

Step-by-step explanation:

The transformations that produce the graph of g(x) = -|5x| are a reflection across the x-axis and a vertical stretch by a factor of 5.

A reflection across the x-axis will make the graph flip or change signs of the y-values. In this case, the absolute value function is reflected across the x-axis to give the negative values.

A vertical stretch by a factor of 5 will make the graph vertically elongate or stretch the y-values by a factor of 5.