Graph y x2 2x 3

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.

Log in or register. Username: Password: Register in one easy step! Reset your password if you forgot it. Quadratics: solvers Quadratics. Answers archive Answers.

Graph y x2 2x 3

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So we essentially reflected the point 0,-3 over to 2,

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The important points are x-intercepts -1, 0 and 3, 0 , y-intercept 0, -3 , and the Vertex 1, The graph of a quadratic equation is a parabola. Axis of Symmetry The axis of symmetry is an imaginary line dividing the parabola into two equal halves. Substitute the given values for a and b into the formula for the axis of symmetry. Vertex The vertex is the maximum or minimum point of a parabola. Substitute 1 for x into the quadratic equation and solve for y. X-Intercepts The x-intercepts are the values of x that intersect the y-axis.

Graph y x2 2x 3

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.

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Cancel the common factor. Log in or register. 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. Plug in and. Step 2. Please ensure that your password is at least 8 characters and contains each of the following:. Start with the given formula. Multiply and to get. Combine like terms. Use the form , to find the values of , , and.

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Cancel the common factors. Simplify by subtracting numbers. Multiply 2 and to get. Log in or register. Note: this means that the axis of symmetry is also. Select a few values, and plug them into the equation to find the corresponding values. Rewrite the equation in vertex form. Find the distance from the vertex to a focus of the parabola by using the following formula. Direction: Opens Up. Factor out of. Set equal to the new right side. Use the properties of the parabola to analyze and graph the parabola. Plug in. Cancel the common factor. The final answer is.