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Finding the Intercepts of
To find the intercepts of the parabola :
Finding the y-intercept: Let and substitute it into the equation to solve for :
The y-intercept is the point .
Finding the x-intercepts: Let and solve for :
Calculate the discriminant () with , , and to predict the number of x-intercepts:
Because the discriminant is negative, the quadratic equation has no real solutions. Therefore, the parabola has no x-intercepts.
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