Find the Axis of Symmetry y-4x=7-x^2

Find the Axis of Symmetry y-4x=7-x^2
Rewrite the equation in vertex form.
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Add to both sides of the equation.
Complete the square for .
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Move .
Use the form , to find the values of , , and .
Consider the vertex form of a parabola.
Substitute the values of and into the formula .
Simplify the right side.
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Cancel the common factor of and .
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Factor out of .
Move the negative one from the denominator of .
Multiply by .
Find the value of using the formula .
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Simplify each term.
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Cancel the common factor of and .
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Factor out of .
Move the negative one from the denominator of .
Multiply by .
Multiply by .
Add and .
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 .
Since the value of is negative, the parabola opens down.
Opens Down
Find the vertex .
Find , the distance from the vertex to the focus.
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Find the distance from the vertex to a focus of the parabola by using the following formula.
Substitute the value of into the formula.
Cancel the common factor of and .
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Rewrite as .
Move the negative in front of the fraction.
Find the focus.
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The focus of a parabola can be found by adding to the y-coordinate if the parabola opens up or down.
Substitute the known values of , , and into the formula and simplify.
Find the axis of symmetry by finding the line that passes through the vertex and the focus.
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Name

Name one billion four hundred seventy-eight million five hundred fifty-one thousand eight hundred twenty-seven

Interesting facts

  • 1478551827 has 8 divisors, whose sum is 1990921680
  • The reverse of 1478551827 is 7281558741
  • Previous prime number is 101

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 48
  • Digital Root 3

Name

Name two hundred fifty-nine million nine hundred twenty-seven thousand four hundred eighty-two

Interesting facts

  • 259927482 has 16 divisors, whose sum is 521776512
  • The reverse of 259927482 is 284729952
  • Previous prime number is 271

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 48
  • Digital Root 3

Name

Name one billion eight hundred sixty-six million nine hundred two thousand three hundred thirty-five

Interesting facts

  • 1866902335 has 4 divisors, whose sum is 2240282808
  • The reverse of 1866902335 is 5332096681
  • Previous prime number is 5

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 43
  • Digital Root 7