The equation of parabola is
Comparing with the vertex form of the parabola:
Hence, the vertex of the parabola is given by (h,k) = (1, -2)
Now, vertex is the midpoint of the focus and the point on the directrix.
Distance, between vertex and focus is p and that of point on the directrix is p.
Now, let us find p
Thus, the focus is given by
And the directrix is given by
Since, a >0 hence, it is an upward parabola.
The graph is shown in the attached file.
Answer:
1). a
2). b
3). c
4). d
Step-by-step explanation:
From the picture of a cone attached,
Radius of the circular top = r
Height of the cone = h
Slant height of the cone 'l' = 6
Area of the circular top of the cone with radius 'r' = πr²
Amount of space inside the cone = Volume of the cone =
The amount of wrapper needed to cover the side of the ice cream cone, not including the circular top of the cone = πrl = πr(6 in.)
The vertical height 'h' of the cone when the cone is standing upright =
[By Pythagoras theorem, l² = h² + r² ⇒ h = ]
