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Question 825024: Please find the standard form/vertex form, vertex, x-intercept and y-intercept, and graph of the function g(x)=3x^2-12x+13. Thank you!
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
g(x) = 3x^2 - 12x + 13
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the above quadratic equation is in standard form, with a=3, b=-12, and c=13
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to solve the quadratic equation, by using the quadratic formula, copy and paste this:
3 -12 13
into this solver: https://sooeet.com/math/quadratic-equation-solver.php
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this quadratic has two complex roots, which are:
x = 2 + (0.577350269)i
x = 2 - (0.577350269)i
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the roots are NOT the x-intercepts, because this quadratic does not intersect the x-axis
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the quadratic vertex is a minimum at: ( x= 2, g= 1 )
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graph:
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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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