### Home > A2C > Chapter 10 > Lesson 10.2.4 > Problem10-109

10-109.
1. 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?

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

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

What is the value of n?

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

What are the values of n?

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

What are the values of n?