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JanetQ2002
12.11.2020 •
Mathematics
Write the equation of the parabola in vertex form.
vertex (3,4), point (2,-2)
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Ответ:
Step-by-step explanation:
The vertex form of the equation of the parabola with vertex (h, k) is:
y = a(x - h)² + k
So the equation of the parabola with vertex (3, 4):
y = a(x - 3)² + 4
The parabola passes through point (2, -2) so if x=2 then y=-2
- 2 = a(2 - 3)² + 4
- 2 -4 = a(-1)² + 4 -4
- 6 = a
So, the equation written in vertex form of a parabola with a vertex of (5, 7) that passes through (2, -2):
y = - 6(x - 3)² + 4
Ответ:
3y = -2x + 6
Divide both sides by 3,
y = -2/3x + 2
Here, Slope = -2/3 and it would be same for that line which is parallel to it.
So, y - 3 = -2/3 (x + 2)
y - 3 = -2x/3 - 4/3
y = -2x/3 + 5/3
In short, Your Answer would be Option B
Hope this helps!