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sasho [114]
2 years ago
8

Can someone help me some this

Mathematics
2 answers:
Kamila [148]2 years ago
8 0

Answer:

y = \dfrac12x^2 - 4x + 6

Step-by-step explanation:

vertex form of parabola:  y = a(x - h)² + k

where (h, k) is the vertex

Given vertex = (4, -2) :

⇒ y = a(x - 4)² - 2

Given y-intercept = (0, 6) substitute values into equation and solve for a:

⇒ 6 = a(0 - 4)² - 2

⇒ 6 = 16a - 2

⇒ 16a = 8

⇒ a = 1/2

Therefore, equation of parabola:

⇒ y = 1/2(x - 4)² - 2

⇒ y = 1/2(x² - 8x + 16) - 2

⇒ y = (1/2)x² - 4x + 6

Ksenya-84 [330]2 years ago
3 0

Answer:

just think(0,6) as A,(4,-2) as B and (6,0)as C then join ABC and you will get your's parabola

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====================================================

Explanation:

Part A

By definition, a trapezoid has exactly one pair of parallel sides. The other opposite sides aren't parallel. In this case, we'd need to prove that PQ is parallel to RS by seeing if the slopes are the same or not. Parallel lines have equal slopes.

------------------------

Part B

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Step-by-step explanation:

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