Find the Vertex y=x^2+6x-11

Find the Vertex y=x^2+6x-11
Rewrite the equation in vertex form.
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Complete the square for .
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Use the form , to find the values of , , and .
Consider the vertex form of a parabola.
Substitute the values of and into the formula .
Cancel the common factor of and .
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Factor out of .
Cancel the common factors.
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Divide by .
Find the value of using the formula .
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Simplify each term.
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Raise to the power of .
Multiply by .
Divide by .
Multiply by .
Subtract from .
Substitute the values of , , and into the vertex form .
Set equal to the new right side.
Use the vertex form, , to determine the values of , , and .
Find the vertex .
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Name

Name two hundred seven million three hundred sixty-two thousand seven hundred fifty

Interesting facts

  • 207362750 has 32 divisors, whose sum is 443641536
  • The reverse of 207362750 is 057263702
  • Previous prime number is 25

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 32
  • Digital Root 5

Name

Name one billion seven hundred eighteen million three hundred eleven thousand two hundred fifty

Interesting facts

  • 1718311250 has 64 divisors, whose sum is 3870603360
  • The reverse of 1718311250 is 0521138171
  • Previous prime number is 409

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 10
  • Sum of Digits 29
  • Digital Root 2

Name

Name seventy-five million seven hundred sixty-eight thousand forty

Interesting facts

  • 75768040 has 64 divisors, whose sum is 307492200
  • The reverse of 75768040 is 04086757
  • Previous prime number is 3329

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 8
  • Sum of Digits 37
  • Digital Root 1