CPM Homework Help : A2C Problem 10-109

John has to graph a set of parabolas of the form y = x² − 4x + 2ⁿ where n is an integer and 0 ≤ n ≤ 6. What is the probability that one of these parabolas, chosen at random, will have: Homework Help ✎
1. One x-intercept?
2. Two x-intercepts?
3. No x-intercepts?

Hint:

For the following, test the possible equations on your calculator or on graph paper.

Answer (a):

$P\text{(one)=\frac{1}{7}}$

What is the value of n?

Answer (b):

$P\text{(two)=\frac{2}{7}}$

What are the values of n?

Answer (c):

$P\text{(none)=\frac{4}{7}}$

What are the values of n?