# Graph f(x)=8x^2+16x-7

Graph f(x)=8x^2+16x-7
Find the properties of the given parabola.
Rewrite the equation in vertex form.
Complete the square for .
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 .
Cancel the common factors.
Factor out of .
Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
Cancel the common factor.
Rewrite the expression.
Find the value of using the formula .
Simplify each term.
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 .
Since the value of is positive, the parabola opens up.
Opens Up
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.
Multiply by .
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.
Find the directrix.
The directrix of a parabola is the horizontal line found by subtracting from the y-coordinate of the vertex if the parabola opens up or down.
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 Up
Vertex:
Focus:
Axis of Symmetry:
Directrix:
Direction: Opens Up
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.
Replace the variable with in the expression.
Simplify the result.
Simplify each term.
Raise to the power of .
Multiply by .
Multiply by .
Simplify by subtracting numbers.
Subtract from .
Subtract from .
The value at is .
Replace the variable with in the expression.
Simplify the result.
Simplify each term.
Raising to any positive power yields .
Multiply by .
Multiply by .
Subtract from .
The value at is .
Graph the parabola using its properties and the selected points.
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
Focus:
Axis of Symmetry:
Directrix:
Do you know how to Graph f(x)=8x^2+16x-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 two billion one hundred twenty-nine million seven hundred twenty-seven thousand five hundred forty-two

### Interesting facts

• 2129727542 has 8 divisors, whose sum is 3202804800
• The reverse of 2129727542 is 2457279212
• Previous prime number is 389

### Basic properties

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

### Name

Name five hundred fifty-four million six hundred forty-two thousand four hundred thirteen

### Interesting facts

• 554642413 has 8 divisors, whose sum is 597542400
• The reverse of 554642413 is 314246455
• Previous prime number is 3119

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 34
• Digital Root 7

### Name

Name one billion eighty-six million eight hundred forty-five thousand five hundred fifty-two

### Interesting facts

• 1086845552 has 64 divisors, whose sum is 5925399480
• The reverse of 1086845552 is 2555486801
• Previous prime number is 13

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 44
• Digital Root 8