Graph y x2 2x 3

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Graph y x2 2x 3

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Word Problems Word.

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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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Note: this means that the axis of symmetry is also. Use the properties of the parabola to analyze and graph the parabola. Plug in and. From , we can see that , , and. Also, the y-value for which is two units from the axis of symmetry is equal to the y-value of which is also two units from the axis of symmetry. Use the form , to find the values of , , and. Cancel the common factor. Simplify the right side. Multiply 2 and to get. So the x-coordinate of the vertex is. Rewrite the equation in vertex form.

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Also, the vertex is at the axis of symmetry of the parabola ie it divides it in two. The values should be selected around the vertex. Word Problems Word. In Depth In. Step 2 Once you have the vertex, find two points on the left side of the axis of symmetry the line that vertically runs through the vertex. Combine like terms. Now that we know the x-coordinate of the vertex, we can use it to find the y-coordinate of the vertex. Cancel the common factors. Step 4 Plot all of the points found including the vertex. Also, the y-value for which is two units from the axis of symmetry is equal to the y-value of which is also two units from the axis of symmetry. Divide by. So the first point to the left of the axis of symmetry is -1,0 Let's find the y value when Start with the given equation. Raising to any positive power yields. Find the value of using the formula.