Answer:
C. 0
Step-by-step explanation:
The points of intercection between the graph of a quadratic function of the form are given by the discriminant of the quadratic formula.
Remember that the quadratic formula is:
The discriminant of he quadratic formula is just the thing inside the radical, in other words:
- If the discriminant is negative, the graph of the quadratic function doesn't intercept the x-axis.
- If the discriminant is positive, the graph of the quadratic function intercept the x-axis at 2 points.
- If the discriminant is 0, the graph of the quadratic function intercept the x-axis at 1 point.
We can infer form our quadratic that ,
, and
, so let's replace the values in the discriminant:
Since the discriminant is negative, we can conclude that the graph of the quadratic function doesn't intercept the x-axis at any point.