Consider the function f(x) = x2 - 6x +8.

This function can also be represented in the following equivalent forms:
f(x) = (x - 1)(x - 2)
f(x) = (x – 3)2 -1.
Part A: Identify the following key features from the
different forms of the function.
X-intercept(s):
y-intercept:
vertex:
axis of symmetry:
max/min value:
Part B: Use the key features from Part B to graph
the function f(x) = x2 - 6x +8.

Determine if the following statement is true or false. the normal curve is symmetric about its​ mean, mu. choose the best answer below. a. the statement is false. the normal curve is not symmetric about its​ mean, because the mean is the balancing point of the graph of the distribution. the median is the point where​ 50% of the area under the distribution is to the left and​ 50% to the right.​ therefore, the normal curve could only be symmetric about its​ median, not about its mean. b. the statement is true. the normal curve is a symmetric distribution with one​ peak, which means the​ mean, median, and mode are all equal.​ therefore, the normal curve is symmetric about the​ mean, mu. c. the statement is false. the mean is the balancing point for the graph of a​ distribution, and​ therefore, it is impossible for any distribution to be symmetric about the mean. d. the statement is true. the mean is the balancing point for the graph of a​ distribution, and​ therefore, all distributions are symmetric about the mean.