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kirill [66]
3 years ago
14

Which form most quickly reveals the vertex?

Mathematics
1 answer:
Elodia [21]3 years ago
6 0

Answer:

The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18 ⇒ b

The vertex = (-4, 18)

Step-by-step explanation:

The vertex form of the quadratic function f(x) is:

f(x) = a(x - h)² + k, where

  • a is the coefficient of x²
  • (h, k) are the coordinates of the vertex point

The most quickly reveals to find the vertex is the vertex form above

Look at the answer and try to find a similar form to the vertex form above

∵ g(x) = -2(x + 4)² + 18

∴ a = -2

∴ h = -4

∴ k = 18

⇒ That means this form is similar to the form above

∴ The most quickly reveals the vertex is g(x) = -2(x + 4)² + 18

∴ The vertex = (-4, 18)

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Find the coordinates of the vertex of the following parabola algebraically. Write your answer as an (x,y)(x,y) point.
Archy [21]

Answer:

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Step-by-step explanation:

The coordinates of the vertex of a parabola which represents a quadratic equation y = ax² + bx + c are (h , k), where

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  • k is the value of y at x = h

∵ The equation of the parabola is y = - x² + 8x

- Compare it by the form of the equation above to find a, b and c

∵ a is the coefficient of x²

∴ a = -1

∵ b is the coefficient of x

∴ b = 8

∵ c is the numerical term

∴ c = 0

The vertex of the parabola is (h , k)

∵ h = \frac{-b}{2a}

- Substitute the values of a and b

∴ h = \frac{-8}{2(-1)}=\frac{-8}{-2}

∴ h = 4

∵ k = y at x = h

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∴ k = -16 + 32

∴ k = 16

∴ The coordinates of the vertex are (4 , 16)

5 0
4 years ago
sally works 38 hours er week her weekly wage is £355.68 she recieves a pay increase of 23p per hour whats her new weekly wage
zhenek [66]

Answer:

  • £364.42

Step-by-step explanation:

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<u>Hourly pay is:</u>

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<u>New payment per hour:</u>

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<u>New weekly wage is:</u>

  • £9.59*38 = £364.42
4 0
3 years ago
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