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 one billion one hundred seven million five hundred thirty-nine thousand four hundred sixty-five

Interesting facts

  • 1107539465 has 8 divisors, whose sum is 1330610568
  • The reverse of 1107539465 is 5649357011
  • Previous prime number is 853

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 41
  • Digital Root 5

Name

Name two billion one hundred twenty-three million five hundred eighteen thousand three hundred thirty-five

Interesting facts

  • 2123518335 has 8 divisors, whose sum is 2265468480
  • The reverse of 2123518335 is 5338153212
  • Previous prime number is 13001

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 33
  • Digital Root 6

Name

Name one billion nine hundred forty-nine million eleven thousand three hundred one

Interesting facts

  • 1949011301 has 8 divisors, whose sum is 2004912000
  • The reverse of 1949011301 is 1031109491
  • Previous prime number is 239

Basic properties

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