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Mathematics 9 Online
OpenStudy (vera_ewing):

Pre-calculus question

OpenStudy (vera_ewing):

OpenStudy (vera_ewing):

@Directrix Help please!

Directrix (directrix):

Sorry, my computer crashed, and I had to find my way back here. Look at the graph of y = x^2 - 7

Directrix (directrix):

That will give you some idea. Algebraically, y = x^2 - 7 can be written as y = 1*x^2 + 0x -7. The x coordinate of the vertex will give the line of symmetry using the formula, x = -b/(2a) where b = 0 and a = 2*1. So, x = 0.

Directrix (directrix):

Is x = 0 the y-axis

OpenStudy (vera_ewing):

So how do we know which is symmetric?

Directrix (directrix):

The parabola y = 1*x^2 + 0x -7 is symmetric about the line x = 0. Which option is that?

OpenStudy (vera_ewing):

C. the x axis

Directrix (directrix):

No. The x-axis is horizontal.

OpenStudy (vera_ewing):

Oh so they y axis since it's vertical?

Directrix (directrix):

Look at this picture.

Directrix (directrix):

The y-axis because it has equation x = 0. Note on the picture that you could fold the parabola about the y-axis and the two parts would coincide.

OpenStudy (vera_ewing):

Ok thank you SO much!!

Directrix (directrix):

You are welcome.

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