Mathematics
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OpenStudy (anonymous):
f(x) = 2x^2 - 16x +27
How do I find the axis?
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OpenStudy (anonymous):
what you mean by axis???
OpenStudy (anonymous):
The axis of symmetry.
Parth (parthkohli):
You mean the vertex?
Parth (parthkohli):
find the \(y\)-coordinate in the vertex.
Parth (parthkohli):
x-coordinate**
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OpenStudy (anonymous):
The original question was "Find the axis of symmetry of the graph of the function.
f(x) = 2x^2 - 16x + 27"
OpenStudy (anonymous):
Complete the square or use the first term of the quadratic formula.
OpenStudy (raden):
use formula x=-b/(2a)
OpenStudy (anonymous):
I thought that was how you would find the vertex.
OpenStudy (anonymous):
The vertex is on the axis of symmetry, so the process is related.
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OpenStudy (anonymous):
Finding the axis of symmetry is a step along the way to finding the vertex.
OpenStudy (anonymous):
Well the vertex is (4,-5).
OpenStudy (anonymous):
Looks like you're all set then. Good work!
OpenStudy (anonymous):
Wait, how does that give me the axis of symmetry?
OpenStudy (anonymous):
What is the X-coordinate of the vertex?
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OpenStudy (anonymous):
4
Parth (parthkohli):
So, \(\rm x = 4\) is your vertex!
OpenStudy (anonymous):
Given
\[y=ax^2+bx+c = a(x-h)^2+k\]
The axis of symmetry is x=h.
Parth (parthkohli):
axis of symmetry**
OpenStudy (anonymous):
Oh I see. Thanks, guys!