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igor_vitrenko [27]
3 years ago
11

Write y = 2x2-12x+25 in vertex form, plz show work.

Mathematics
1 answer:
Alex3 years ago
4 0

y = 2x² - 12x + 25 in the vertex form is y = 2(x - 3)² + 7

Step-by-step explanation:

The vertex form of a quadratic equation y = ax² + bx + c is

y = a(x - h)² + k, where

  • (h , k) are the coordinate of the vertex point
  • a is the coefficient coefficient of x²
  • h=\frac{-b}{2a}
  • k = y when x = h

∵ y = ax² + bx + c

∵ y = 2x² - 12x + 25

∴ a = 2 , b = -12 , c = 25

∵ h=\frac{-b}{2a}

∴ h=\frac{-(-12)}{2(2)}

∴ h=\frac{12}{4}

∴ h = 3

∵ k = y at x = h

∵ h = 3

∴ k = y at x = 3

∵ y = 2x² - 12x + 25

- Substitute x by 3

∴ k = 2(3)² - 12(3) + 25

∴ k = 18 - 36 + 25

∴ k = 7

∵ The vertex form is y = a(x - h)² + k

∵ a = 2 , h = 3 , k = 7

∴ y = 2(x - 3)² + 7

y = 2x² - 12x + 25 in the vertex form is y = 2(x - 3)² + 7

Learn more:

You can learn more about the quadratic equation in brainly.com/question/1332667

#LearnwithBrainly

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