Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
4
,
−
11
)
Focus:
(
4
,
−
43
4
)
Axis of Symmetry:
x
=
4
Directrix:
y
=
−
45
4
x
y
2
−
7
3
−
10
4
−
11
5
−
10
6
−
7
Answer: Endpoint = (-4,6)
Step-by-step explanation:
To find any endpoint use the formula

multiply each by 2 to simplify
take the equations and simplify
6+
= 2 -2+
= 4 =
-6 -6 +2 +2
= -4
= 6
To check use the Midpoint formula

Note: Since the symbols for greatest integer function (GIF) and least integer function (LIF) are not given, I will be using the words GIF and LIF in the solution
GIF x means largest integer less than or equal to x, and LIF x means least integer greater than or equal to x.
We need to determine which expressions are equal
Option 1: GIF 4.9 and LIF 3.1
GIF 4.9 = 3
LIF 3.1 = 4
Hence GIF 4.9 ≠ LIF 3.1
Option 2: GIF 15.2 and GIF 14.8
GIF 15.2 = 15
GIF 14.8 = 14
Hence, GIF 15.2 ≠ GIF 14.8
Option 3: GIF -6 and LIF -6
GIF -6 = -6
LIF -6 = -6
Hence, GIF -6 = LIF -6
Option 4: LIF -3.2 and LIF -2.6
LIF -3.2 = -2
LIF -2.6 = -1
Hence, LIF -3.2 ≠ LIF -2.6
Hence, only in Option C the pair of expressions are equal.