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Finding the Zeros and Intercepts of
To find the zeros and intercepts of the quadratic function :
Finding the zeros: Set the function equal to zero, . Factor the trinomial to obtain . Apply the zero product property to solve for , yielding the zeros and .
Finding the x-intercepts: Because x-intercepts occur where the function value is zero (), the x-intercepts of the graph correspond to the zeros. Therefore, the x-intercepts are the points and .
Finding the y-intercepts: To find the y-intercept, evaluate the function at . Substituting into the function gives . Thus, the y-intercept is the point .
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Finding the Zeros and Intercepts of
Finding the Zeros and Intercepts of
Finding the Zeros and Intercepts of
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