Fx x2 4x 5

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Please ensure that your password is at least 8 characters and contains each of the following:. Enter a problem Algebra Examples Popular Problems. Find the properties of the given parabola. Rewrite the equation in vertex form.

Fx x2 4x 5

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Select a few values, and plug them into the equation to find the corresponding values. Enter a problem Step 1.

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Please ensure that your password is at least 8 characters and contains each of the following:. Enter a problem Algebra Examples Popular Problems. 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. Find the value of using the formula.

Fx x2 4x 5

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Answers archive Answers. Find , the distance from the vertex to the focus. Simplify by adding and subtracting. Consider the vertex form of a parabola. The final answer is. Find the directrix. Lessons Lessons. Simplify each term. Direction: Opens Up. From , we can see that , , and. 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. Multiply and to get.

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Square to get. Substitute the known values of and into the formula and simplify. Find the distance from the vertex to a focus of the parabola by using the following formula. Plug in and. One to any power is one. Also, the y-value for is equal to the y-value of. To find the x-coordinate of the vertex, use this formula:. Multiply 2 and to get. 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. So we essentially reflected the point 1,-8 over to 3, Enter a problem So the x-coordinate of the vertex is. Now that we know the x-coordinate of the vertex, we can use it to find the y-coordinate of the vertex. Substitute the value of into the formula. Substitute the values of , , and into the vertex form.