# 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.
Add to both sides of the equation.
Complete the square for .
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.
Cancel the common factor of and .
Factor out of .
Move the negative one from the denominator of .
Multiply by .
Find the value of using the formula .
Simplify each term.
Cancel the common factor of and .
Factor out of .
Move the negative one from the denominator of .
Multiply by .
Multiply by .
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.
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 .
Rewrite as .
Move the negative in front of the fraction.
Find the focus.
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 six hundred twenty-seven million three hundred thirty-eight thousand three hundred thirty-five

### Interesting facts

• 1627338335 has 16 divisors, whose sum is 1787443200
• The reverse of 1627338335 is 5338337261
• Previous prime number is 31

### Basic properties

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

### Name

Name one billion one hundred twenty-five million thirty-six thousand forty-four

### Interesting facts

• 1125036044 has 32 divisors, whose sum is 2762548416
• The reverse of 1125036044 is 4406305211
• Previous prime number is 4643

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 26
• Digital Root 8

### Name

Name one billion seven hundred forty-three million one hundred seventy-four thousand four hundred ninety-two

### Interesting facts

• 1743174492 has 16 divisors, whose sum is 3999047832
• The reverse of 1743174492 is 2944713471
• Previous prime number is 51

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 42
• Digital Root 6