SOLUTION: Find the vertex and the axis of symmetry and graph the function f(x)=x^2-9x

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find the vertex and the axis of symmetry and graph the function f(x)=x^2-9x      Log On


   



Question 813697: Find the vertex and the axis of symmetry and graph the function
f(x)=x^2-9x

Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
f(x) = x^2 - 9x
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the above quadratic equation is in standard form, with a=1, b=-9, and c=0
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to solve the quadratic equation, plug this:
1 -9 0
into this: https://sooeet.com/math/quadratic-equation-solver.php
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x-intercepts:
the roots of the quadratic are real
9
0
( 9, 0 )
( 0, 0 )
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y-intercept:
f(0) = 0^2 - 9(0) = 0
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vertex min or max
vertex is a minimum at ( 4.5, -20.25 )
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axis of symmetry:
x = 4.5
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