Question 97763
Find the equation of the axis of symmetry for the graph of y=x^2-7x+12 , and state whether the axis of symmetry contains a maximum point or a minimum point of the graph.
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There is a simple equation to find the axis of symmetry of a quadratic equation
 x = {{{(-b)/((2a))}}}
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In your equation a = 1, b = -7, c = 12, (not needed here)
 x = {{{(-(-7))/((2*1))}}}; a minus a minus, is a plus
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x = {{{7/2}}} or +3.5 is the axis of symmetry
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A simple rule to know if it has a maximum or a minimum
If the coefficient of x^2 is positive, it has a minimum
If the coefficient of x^2 is negative, it has a maximum
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It looks like this:
{{{ graph( 300, 200, -4, 10, -5, 15, x^2-7x+12) }}}
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Note that the axis of symmetry is +3.5 and it has a minimum