Answer:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
2
,
4
)
Focus:
(
2
,
15
/4
)
Axis of Symmetry:
x
=
2
Directrix:
y
=
17
/4
x y
0 0
1 3
2 4
3 3
4 0
To find the x-intercept, substitute in
0 for y and solve for x
. To find the y-intercept, substitute in 0 for x and solve for y
.
x-intercept(s): (
0
,
0
)
,
(
−
4
,
0
)
y-intercept(s): (
0
,
0
)
Step-by-step explanation:
I need a picture to find the answer
No pair of lines can be proven to be parallel considering the information given, therefore, the answer is: D. None of the options are correct.
<h3>When are Two Lines Proven to be Parallel to each other?</h3>
Two lines that are cut across by a transversal can be proven to be parallel to each other if:
- The alternate interior angles along the transversal and on the two lines are congruent [alternate interior angles theorem].
- The alternate exterior angles along the transversal and on the two lines are congruent [alternate exterior angles theorem].
- The same-side interior angles along the transversal and on the two lines are supplementary [same-side interior angles theorem].
- The corresponding angles along the transversal and on the two lines are congruent [corresponding angles theorem].
Thus, given the following information:
m∠2 = 115°
m∠15 = 115°
With only these two angles given, we can't use any of the theorems to prove that any of the two lines are parallel because angle 2 and angle 15 are located entirely on two different transversals that crosses two lines.
In summary, we can conclude that:
D. None of the options are correct.
Learn more about the Parallel lines on:
brainly.com/question/16742265
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<span>Simplifying
k3 + 4k2 + 4k = -1k3 + 10k
Reorder the terms:
4k + 4k2 + k3 = -1k3 + 10k
Reorder the terms:
4k + 4k2 + k3 = 10k + -1k3
</span><span>
</span>
