a. x = 3
b. x = 4
c. y = 1
d. y = -1
2007-08-07 18:28:25 · 4 answers · asked by Nutella123 1 in Science & Mathematics ➔ Mathematics
What is the axis of symmetry of the parabola with the equation
x - 4 = (1/4)(y + 1)²?
The parabola is sideways since the y term is squared. Therefore the axis of symmetry is a horizontal line thru the vertex.
The vertex is (4, -1). Therefore the axis of symmetry is:
y = -1
The answer is d.
2007-08-07 18:54:34 · answer #1 · answered by Northstar 7 · 0⤊ 0⤋
x - 4 = (1/4) (y+1)^2
Inspecting will say y= -1 is the axis of symmetry
This is a horizontal parabola
with x=x(y)
Alternately
The axis of symmetry is at x where the parabola is max or min
or where dx/dy=0
dx/dy = (1/4) 2 (y+1) = 0
when y = -1
so Ans: y = - 1 is the horizontal axis of symmetry
2007-08-08 08:56:50 · answer #2 · answered by vlee1225 6 · 0⤊ 0⤋
d. y = -1, since the parabola opens to the right side.
2007-08-07 18:33:28 · answer #3 · answered by sahsjing 7 · 0⤊ 0⤋
HELLO!
2013-08-23 12:52:34 · answer #4 · answered by Anonymous 3 · 0⤊ 0⤋