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Question 818307: find the vertex, axis of symmetry,domain,range,maximum or minimum, intervals over which f is increasing , and intervals over which f is decreasing .
f(x)=x^2+3x
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! f(x) = x^2 + 3x
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the above quadratic equation is in standard form, with a=1, b=3, and c=0
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to solve the quadratic equation, by using the quadratic formula, plug this:
1 3 0
into this: https://sooeet.com/math/quadratic-equation-solver.php
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the two real roots (i.e. the two x-intercepts), of the quadratic are:
x = 0
x = -3
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the quadratic vertex is a minimum at: ( x= -1.5, f(x)= -2.25 )
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the axis of symmetry is: x = -1.5
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the interval over which f is increasing: x > -1.5
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the interval over which f is decreasing: x < -1.5
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