Question

# The graph below, y = p(x), with a domain of [−2, 2] takes the shape of a bell. These types of graphs, known as

bell curves, are widely used in both natural and social sciences. A very popular example is the normal distribution which is used to represent the distribution of random values with a specific mean value and variance given by the graphs local maximum and spread respectively.

1

p(x)

0.8 0.6 0.4 0.2

(a) List function transformations in the correct order which would alter p(x) into a new function q(x) so that its new domain is [0, 1], its local maximum is at x = 0.5 and it's range is [0, 0.8]:

(b) Graph the new transformed function below:

1

q(x)

0.8 0.6 0.4 0.2

−2 −1.5 −1 −0.5

(c) Express the new function q(x) after the transformation:

#### Top Answer

a) we need to perform following transformation : first : p ( x ) p ( 4 x ) ... View the full answer