Graph y^2=3x+7

Graph y^2=3x+7
Rewrite the equation as .
Subtract from both sides of the equation.
Divide each term by and simplify.
Tap for more steps...
Divide each term in by .
Cancel the common factor of .
Tap for more steps...
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
Find the properties of the given parabola.
Tap for more steps...
Rewrite the equation in vertex form.
Tap for more steps...
Complete the square for .
Tap for more steps...
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.
Tap for more steps...
Cancel the common factor of and .
Tap for more steps...
Factor out of .
Cancel the common factors.
Tap for more steps...
Cancel the common factor.
Rewrite the expression.
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Find the value of using the formula .
Tap for more steps...
Simplify each term.
Tap for more steps...
Raising to any positive power yields .
Combine and .
Multiply the numerator by the reciprocal of the denominator.
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 positive, the parabola opens right.
Opens Right
Find the vertex .
Find , the distance from the vertex to the focus.
Tap for more steps...
Find the distance from the vertex to a focus of the parabola by using the following formula.
Substitute the value of into the formula.
Simplify.
Tap for more steps...
Combine and .
Multiply the numerator by the reciprocal of the denominator.
Multiply by .
Find the focus.
Tap for more steps...
The focus of a parabola can be found by adding to the x-coordinate if the parabola opens left or right.
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.
Find the directrix.
Tap for more steps...
The directrix of a parabola is the vertical line found by subtracting from the x-coordinate of the vertex if the parabola opens left or right.
Substitute the known values of and into the formula and simplify.
Use the properties of the parabola to analyze and graph the parabola.
Direction: Opens Right
Vertex:
Focus:
Axis of Symmetry:
Directrix:
Direction: Opens Right
Vertex:
Focus:
Axis of Symmetry:
Directrix:
Select a few values, and plug them into the equation to find the corresponding values. The values should be selected around the vertex.
Tap for more steps...
Substitute the value into . In this case, the point is .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
Tap for more steps...
Multiply by .
Add and .
The final answer is .
Substitute the value into . In this case, the point is .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
Tap for more steps...
Multiply by .
Add and .
The final answer is .
Substitute the value into . In this case, the point is .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
Tap for more steps...
Multiply by .
Add and .
The final answer is .
Substitute the value into . In this case, the point is .
Tap for more steps...
Replace the variable with in the expression.
Simplify the result.
Tap for more steps...
Multiply by .
Add and .
The final answer is .
Graph the parabola using its properties and the selected points.
Graph the parabola using its properties and the selected points.
Direction: Opens Right
Vertex:
Focus:
Axis of Symmetry:
Directrix:
Do you know how to Graph y^2=3x+7? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name

Name one billion sixty-eight million forty-five thousand three hundred two

Interesting facts

  • 1068045302 has 8 divisors, whose sum is 1603244016
  • The reverse of 1068045302 is 2035408601
  • Previous prime number is 1367

Basic properties

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

Name

Name nine hundred fourteen million two hundred twenty-four thousand eight hundred forty-seven

Interesting facts

  • 914224847 has 4 divisors, whose sum is 936523056
  • The reverse of 914224847 is 748422419
  • Previous prime number is 41

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 41
  • Digital Root 5

Name

Name one billion seven hundred fifty-two million five hundred sixty-three thousand eight hundred sixty-seven

Interesting facts

  • 1752563867 has 8 divisors, whose sum is 1878189216
  • The reverse of 1752563867 is 7683652571
  • Previous prime number is 37

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 50
  • Digital Root 5