Finding the Intercepts of
To find the intercepts of the parabola described by the equation , determine where the graph crosses each axis.
Calculating the y-intercept: Substitute into the equation and solve for :
This gives the y-intercept at the point .
Calculating the x-intercepts: Substitute into the equation and solve the resulting quadratic equation for :
Solve by factoring the right side of the equation:
Apply the Zero Product Property by setting each factor equal to zero:
This yields the x-intercepts at the points and .
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