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Using the Quadratic Formula to find Complex Roots

Using the Quadratic Formula to find Complex Roots 1.4 - Solution

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a
We need to match the function with its graph just by using the discriminant. In our case, and
The discriminant is positive, so the graph of the function intercepts the -axis twice. Consequently, the graph of this function is option II.
b
In this part we need to match the function with its graph just by using the discriminant. This time and
Since the discriminant is zero, the graph of the function intercepts the -axis only once. Consequently, the graph of this function is option III.
c
Finally, we will match the function with its graph just by using the discriminant. This time and
Since the discriminant is negative, the graph of function does not intercept the -axis. This implies that the graph of this function is option I.