I think the Caldwell family (tbh I don’t know ♀️)
Answer:
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
Select a few
x
x values, and plug them into the equation to find the corresponding
y
y values. The
x
x values should be selected around the vertex.x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
image of graph
Answer: x-int = 10 and y-int = -12
Explanation:
Find x intercept:
To find x intercept set y = 0
3x - 2.5(0) = 30
3x = 30
x = 10
Find y-int:
Set x = 0
3(0) - 2.5y = 30
-2.5y = 30
y = 30/-2.5
y = -12
Pythagoras theoram, here again!
- H² = B² + P²
- 11² = b² + 8²
- 121 - 64 = b²
- √57 = b
And that's our answer.