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. Complete the square for.

Fx x2 4x 5

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Select a few values, and plug them into the equation to find the corresponding values.

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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.

Fx x2 4x 5

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Combine like terms. Plug in and. Step 1. Reset your password if you forgot it. Plug in. Divide by. So we essentially reflected the point 0,-5 over to 4, Since the value of is positive, the parabola opens up. So the vertex is. One to any power is one.

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Plug in and. Cancel the common factor. Since the value of is positive, the parabola opens up. Factor out of. Simplify by adding and subtracting. The final answer is. So when , which gives us the point 3, Negate to get. Simplify each term. 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. Find the axis of symmetry by finding the line that passes through the vertex and the focus. Substitute the values of , and into the formula. Combine like terms. Also, the y-value for is equal to the y-value of. Substitute the values of , , and into the vertex form.