Solve the problem.
-The average weight of a particular species of frog is given where x is length (with legs stretched out) in meters and w(x) is weight in grams. (i) Describe how the graph of function w can be
Obtained from one of the six basic functions: . (ii) Sketch a graph of
Function w using part (i) as an aid.

Question

Solve the problem.
-The average weight of a particular species of frog is given  where x is length (with legs stretched out) in meters and w(x) is weight in grams. (i) Describe how the graph of function w can be
Obtained from one of the six basic functions:  . (ii) Sketch a graph of
Function w using part (i) as an aid.

Quizplus · Accepted Answer

The function w(x) is quadratic in nature, so it can be obtained from the basic function y = x^2 by applying vertical and horizontal stretches and shifts. A possible graph of the function w(x) is a parabolic curve opening upwards, centered at x = 0 and passing through the point (1, 100), with a vertex at (0, 0) and a focus at (0, 25/2). The choice (B) represents such a graph. The choice (A) is a linear function, the choice (C) is a cubic function, and the choice (D) is a sinusoidal function, none of which fits the given data.

Solve the Problem. -The Average Weight of a Particular Species of Frog Is