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Question 822512: Tell whether the given quadratic function has a minimum or maximum point. Give the coordinates of those minimum and maximum points.
1. f(x)= 3x²+2x
2. f(x)= -3x²-2x
3. f(x)= x²+5x+15
4. f(x)= -2x²+11x-12
5. C(x)= 0.002x²+1.2x+60
Answer by TimothyLamb(4379) (Show Source):
You can put this solution on YOUR website! ---
I will do the first quadratic function and you can do the rest.
The method is exactly the same for all quadratics in standard form:
f(x) = ax^2 + bx + c
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3x^2 + 2x
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the above quadratic equation is in standard form, with a=3, b=2, and c=0
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
3 2 0
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic's vertex is a minimum at: ( x= -0.333333333, f(x)= -0.333333333 )
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Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
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Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
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Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
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