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Determine the equation of a quadratic function that satisfies the following set of...
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Elementary School Teacher
So we start out with a factored quadratic function. `y=(x+-a)(x+-b)` since we know that one of the points has to be (3,0) we can make `a=3` and that gives us an updated function of `y=(x-3)(x+-b)`Now we plug in the x and y values of our other point (1,-2) to get a value for b. `-2=(1-3)(1+-b)=-2(1+-b)` It is already obvious that this will work out if b=0, which gives us an equation of `y=x(x-3)=x^2-3x` And the graph proves requirements were met.
Posted by tjbrewer on September 4, 2013 at 9:55 PM (Answer #1)
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