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Mathematics 13 Online
OpenStudy (anonymous):

f(x) = 2x^2 - 16x +27 How do I find the axis?

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**

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.

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?

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!

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