Answer
See explanation
Work Step by Step
Given,
z=x^2+y
& k=−2,−1,0,1,2
for k=-2,-1,0,1,2 you will get parabola
Let,
z=k=-2,-1,0,1,2
for k=-2
x^2+y=-2
=>x^2=-y-2 [parabola opens down vertex (0,-2)]
for k=-1
x^2+y=-1
=>x^2=-y-1 [parabola opens down vertex (0,-1)]
for k=0
x^2+y=0
=>x^2=-y [parabola opens down vertex (0,0)]
for k=1
x^2+y=1
=>x^2=-y+1 [parabola opens down vertex (0,1)]
for k=2
x^2+y=2
=>x^2=-y+2 [parabola opens down vertex (0,2)]
