Question

Describe the given function and how it differs from the parent function.
m(x)=1/7x^2

Answer 1

The given function, m(x) = (1/7)x^2, is a quadratic function that differs from the parent function in scaling and translation.

Step-by-step explanation:

The given function is m(x) = (1/7)x^2. This is a quadratic function with a coefficient of 1/7. The parent function is f(x) = x^2, which is a basic quadratic function.

The given function differs from the parent function in two ways:

1. Scaling: The coefficient of 1/7 in the given function scales the graph vertically, making it narrower compared to the parent function. The function will have a steeper slope and reach its maximum value at a smaller x value.
2. Translation: The given function has no translation on the x-axis or y-axis. The parent function has its vertex at the origin (0, 0), while the vertex of the given function remains at the origin.