Step-by-step explanation:
Direction: Opens Up
Vertex:
(
3
,
−
3
)
(3,-3)
Focus:
(
3
,
−
11
4
)
(3,-114)
Axis of Symmetry:
x
=
3
x=3
Directrix:
y
=
−
13
4
y=-134
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.
Tap for more steps...
x
y
1
1
2
−
2
3
−
3
4
−
2
5
1
xy112-23-34-251
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
3
,
−
3
)
(3,-3)
Focus:
(
3
,
−
11
4
)
(3,-114)
Axis of Symmetry:
x
=
3
x=3
Directrix:
y
=
−
13
4
y=-134
x
y
1
1
2
−
2
3
−
3
4
−
2
5
1
Answer:
A
Step-by-step explanation:
For a graph to be representative of a proportional relationship, it must meet the following criteria:
1) It is a straight line.
2) It passes through the origin point (0,0).
3) It is neither horizontal nor vertical*.
We can see that D is not a line. So, D is not a proportional relationship.
We can also see that B and C are vertical and horizontal, respectively. They also do not cross the origin.
The only choice that is a straight line and also crosses through the origin point is A.
So, our answer is A.
And we're done!
*Note: Vertical lines are not proportional because they are not a function.
Horizontal lines are not proportional because they has a constant of proportionality of 0, which can't be the case.
2x-3y=7
-3y = -2x+7
y= 2x/3-7/3
slope of 2/3 (rise 2, run 3)
y-intercept of -7/3
Would be a positive line, starting low on left and rising towards right