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Mathematics 9 Online
OpenStudy (anonymous):

What is the equation of the line of symmetry for the graph of y = 3(x + 2)2 – 4?

OpenStudy (anonymous):

The line of symmetry is the line that goes through the vertex of this parabola. Do you know how to find the vertex?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Your equation is already given in what is called "vertex form". Given:\[y=a(x-h)^2+k\]The vertex is the point (h,k).

OpenStudy (anonymous):

Ohhh! Okay got it!

OpenStudy (anonymous):

So, what's the vertex?

OpenStudy (anonymous):

And remember that once you have the vertex, you still need to find the line of symmetry.

OpenStudy (anonymous):

-2?

OpenStudy (anonymous):

x=-2 is correct. Saying "-2" doesn't tell us anything. Make sure you write x=-2. This is a vertical line through the point (-2,-4). It cuts the parabola into symmetry halves. It is the line of symmetry for this parabola. Make sense?

OpenStudy (anonymous):

Ohh, thank you so much. You helped a ton!

OpenStudy (anonymous):

no problem :)

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