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3.Find the zeroes of x^2+3x-4
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The graph of p(x) is given above.
Clearly, from the graph x=−4,1 are zeros of p(x).
Verification:-
p(−4)=(−4)2+3×−4−4=16−12−4=0
p(1)=(1)2+3×1−4=1+3−4=0
4.graph of quadratic equation
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The graph of a quadratic function is a parabola. The standard form of a quadratic function is written as . If , the parabola opens upward; if , it opens downward. To graph the function, first find the vertex by:
Either completing the square to rewrite the function in the form (the vertex is (h, k)) or finding the line of symmetry using the equation , which calculates the x-coordinate of the vertex, and then finding the y value of the vertex by substituting the value of x into the original equation.
Then find the x- and y-intercepts of the graph. To find the x-intercepts, solve the quadratic equation, . To find the y-intercept of , find f(0).
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