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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
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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?
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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.