Question

Describe the parent function f and the transformations of the the function from f to h.

h(x) = 4 [[2]]

Answer 1

The parent function f(x) is a horizontal line. The given function h(x) = 4*f(x) is a vertical stretch of f(x) by a factor of 4.

Step-by-step explanation:

The parent function f(x) is a horizontal line. The given function h(x) = 4*f(x) is a vertical stretch of f(x) by a factor of 4.

To understand this graphically, imagine the parent function f(x) as a flat line at y = 0. When we multiply f(x) by 4, each point on the line gets stretched vertically by a factor of 4. So, the resulting graph h(x) will also be a flat line, but at y = 0*4 = 0.

In summary, the parent function f(x) is a horizontal line, and the transformation h(x) = 4*f(x) is a vertical stretch of f(x) by a factor of 4.