2006-11-30 03:04:59 · 5 answers · asked by a 1 in Science & Mathematics ➔ Mathematics
y = 2x^2 - 5 is a graph of parabola.
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When x = # , this is an equation of a VERTICAL line.
Similarly, when "x" is squared, "y" is to the power of one,
the parabola is a VERTICAL parabola.
So, now, we have established that the above equation is a VERTICAL parabola.
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A VERTICAL parabola is symmetric with respect to the y-axis, regardless of which direction the parabola opens (up or down).
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ANSWER: This parabolic equation is symmetric with respect to the y-axis.
2006-11-30 03:36:59 · answer #1 · answered by LovesMath 3 · 0⤊ 0⤋
y=2x^2-5
a]symmetry about x axis
For every value of x do we have two values of y equal but opposite in sign?
no-
not symmetrical about x axis
b] symmetry about y axis
y=1, x=+-sqrt3
y=2, x=+-sqrt3.5
yes
symmetrical about y axis
c] symmetry about origin
symmetry can be about an axis
not about a point
2006-11-30 11:37:57 · answer #2 · answered by openpsychy 6 · 0⤊ 0⤋
since x is in even power it is symmetrical about y axis
2006-11-30 11:12:04 · answer #3 · answered by raj 7 · 2⤊ 0⤋
all quadratic eqution form a symmetical parabola.
2006-11-30 11:35:36 · answer #4 · answered by superlaminal 2 · 0⤊ 0⤋
y-axis
2006-11-30 11:11:47 · answer #5 · answered by MollyMAM 6 · 1⤊ 0⤋