Step: 1
y = x2 + 4x + 4
[Original equation.]
Step: 2
The x-intercepts occur when y = 0.
Step: 3
0 = x2 + 4x + 4
[Replace y with 0.]
Step: 4
Compare the equation with the standard form to get the values of a, b and c.
Step: 5
b2 - 4ac = (4)2 - 4(1)(4)
[Substitute a = 1, b = 4 and c = 4 in the discriminant.]
Step: 6
= 16 - 16 = 0
[Simplify.]
Step: 7
Since the discriminant is equal to zero, the quadratic equation has only one solution.
Step: 8
So, the graph has one x-intercept.