Because the parabola intercepts the x-axis only once, we conclude that the discriminant is 0.
What can we say about the discriminant?
For a quadratic equation:
y = a*x^2 + b*x + c
The discriminant is:
D = b^2 - 4ac
- If D = 0, there is only one real zero.
- If D > 0, there are two real zeros.
- If D < 0, there are two complex zeros.
In the graph we can see that the parabola intercepts the x-axis in its vertex, then the parabola has only one real zero, then we conclude that the discriminant is equal to zero.
If you want to learn more about quadratic equations:
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