Answer:
The equations of the parabolas whose focus and vertex lie in different quadrants are;
The third equation and the sixth equation
Step-by-step explanation:
We analyse each of the equations as follows
Vertex = V(h, k)
Focus = F(h, k+p)
First equation
a = -1/8
b = 1/4
c = 23/8
k = 3
h = 1 Hence same quadrant
Second equation
a = 1/32
b = 1/4
c = -13/2
h = -4
k = -7 same quadrant
Third equation
a = -1/16
b = -1/4
c = 11/4
k = 3
h = -2 Hence different quadrants
Fourth equation
a = 1/16
b = 1/4
c = -19/4
h = -2
k = -5 The same quadrant
Fifth equation
a = -1/36
b = -5/18
c = 299/36
k = 620.56
h = 149.5 The same quadrant and
Sixth equation
a = -1/24
b = -5/12
c = 95/24
h = -5
k ≈ 5 Hence different quadrants
Hence the equations of the parabolas whose focus and vertex lie in different quadrants are the third and sixth equations presented as follows;
Third equation:
Sixth equation:
.