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Elan Coil [88]
3 years ago
14

Y^3 +3y^2 -10y-24=0 is y=-2

Mathematics
1 answer:
nadezda [96]3 years ago
5 0

Answer:

y^3 +3y^2 -10y-24=0 where y=-2 <- True

Step-by-step explanation:

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Answer: Vertex = (2, -15)  2nd point = (0, -3)

<u>Step-by-step explanation:</u>

g(x) = 3x² - 12x - 3

      = 3(x² - 4x - 1)

          a=1   b=-4  c=-1

Find the x-value of the vertex by using the formula for the axis of symmetry: x = \dfrac{-b}{2a}

x = \dfrac{-(-4)}{2(1)}

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Find the y-value of the vertex by plugging the x-value (above) into the given equation: g(x) = 3x² - 12x - 3

g(2) = 3(2)² - 12(2) - 3

       = 12  - 24 - 3

       = -15

So, the vertex is (2, -15)  ←  PLOT THIS COORDINATE

Now, choose a different x-value.  Plug it into the equation and solve for y. <em>I chose x = 0</em>

g(0) = 3(0)² - 12(0) - 3

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       = -3

So, an additional point is (0, -3)  ←  PLOT THIS COORDINATE


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