y= -2x^2
that mean negative two x to the second
2007-05-01 11:31:14 · 7 answers · asked by MetalHead4Ever44 2 in Science & Mathematics ➔ Mathematics
The vertex is the peak of the curve. The peak is the point where the slope of the curve is zero. That is, if you put a marble exactly at the peak, it wouldn't roll.
So, to find the point where the slope is zero, you can do it one of two ways. You can graph the equation and find the peak. This curve is of an inverted parabola. By inspection, the peak will be at (0,0).
Or, you can find it using calculus.
y=-2x^2
Take the derivative (which is also the slope.
dy/dx = slope = -4x
To find the point where the slope is zero, set dy/dx = 0
or, -4x = 0, so x must equal 0 at the point where the slope is zero.
Substitute x=0 into the original equation and solve for y
y = -2(0)^2, so y = 0.
So, the vertex is at the point (0,0) as before.
-Guru
2007-05-01 11:33:42 · answer #1 · answered by Guru 6 · 0⤊ 2⤋
2
2007-05-01 18:34:57 · answer #2 · answered by Roxy 2 · 0⤊ 0⤋
The vertex of the parabola y = -2x² is the origin (0,0).
2007-05-01 18:34:05 · answer #3 · answered by Northstar 7 · 0⤊ 0⤋
the formula for the vertex is X = -B/2A
-0/2(-2) = -0/-4 X= 0
TO FIND Y,substitute x value into the original equation
y= -2(0)^2 = 0
the origin is (0,0)
2007-05-01 18:45:17 · answer #4 · answered by luxury 1 · 0⤊ 0⤋
The vertex of this parabola is the origin (0,0).
Guido
2007-05-01 18:35:41 · answer #5 · answered by Anonymous · 0⤊ 0⤋
The vertex is (0,0).
2007-05-01 18:35:44 · answer #6 · answered by Anonymous · 0⤊ 0⤋
Northstar's right... the origin (0,0)
.
2007-05-01 18:35:28 · answer #7 · answered by tlbs101 7 · 0⤊ 0⤋