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Mathematics 17 Online
OpenStudy (anonymous):

What is the axis of symmetry of the parabola given by the equation x = 3(y – 9)2 – 12?

OpenStudy (anonymous):

Answer choices: x = –9 x = 9 y = –9 y = 9

OpenStudy (anonymous):

PLEASE HELP ME! I need help! I have been working on this assignment for 3 hours!

OpenStudy (asnaseer):

Have a look here to see how expressing the equation of a parabola in vertex form gives you where the axis of symmetry lies: http://www.mathwarehouse.com/geometry/parabola/standard-and-vertex-form.php

OpenStudy (anonymous):

im still really confused

OpenStudy (asnaseer):

the equation you are given is:\[x = 3(y – 9)^2 – 12\]if you look at that link I gave, what does this tell you about where the vertex of this parabola is?

OpenStudy (anonymous):

The vertex is 9,12

OpenStudy (anonymous):

9, -12

OpenStudy (asnaseer):

not quite, remember here the x and y coordinates have been swapped - and also pay particular attention to the signs.

OpenStudy (anonymous):

But it says that where the 9 is thats h and where the -12 is thats k. So isnt 9,-12 the vertex?

OpenStudy (anonymous):

Unless I read that wrong

OpenStudy (anonymous):

WAIT is the axis of symmetry x=9?

OpenStudy (asnaseer):

the site lists the equation as:\[y=a(x-h)^2+k\]what you are given is more like:\[x=a(y-h)^2+k\]i.e. the x and y coordinates have been swapped

OpenStudy (anonymous):

is it x=9!?

OpenStudy (anonymous):

no y=9?

OpenStudy (asnaseer):

which one would you bet your house on? :)

OpenStudy (anonymous):

y=9?

OpenStudy (anonymous):

but truthfully neither aha

OpenStudy (asnaseer):

damn - I was soooo close to winning your house! :D

OpenStudy (anonymous):

I got it right!?

OpenStudy (asnaseer):

y=9 is the correct answer :)

OpenStudy (anonymous):

Can you please help me with another one!?

OpenStudy (anonymous):

I have been working on this assignment for 3 hours and I have to be done in 10 minutes :(

OpenStudy (anonymous):

AND THANKYOU SO MUCH!

OpenStudy (asnaseer):

I am doing some other work as well right now - so just post your question and I'll take a look if no one else has helped by then...

OpenStudy (asnaseer):

yw :)

OpenStudy (anonymous):

okay thankyou!

OpenStudy (asnaseer):

np

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