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.

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Graph y x2 2x 3

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Now that we know the x-coordinate of the vertex, we can use it to find the y-coordinate of the vertex.

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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.

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. Complete the square for.

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Substitute the values of , , and into the vertex form. Complete the square for. Step 3 Reflect those two points over the axis of symmetry to get two more points on the right side of the axis of symmetry. Step 2. So we essentially reflected the point -1,0 over to 3,0. Step 1. Rewrite the expression. Now that we know the x-coordinate of the vertex, we can use it to find the y-coordinate of the vertex. Find , the distance from the vertex to the focus. Graph the parabola using its properties and the selected points. Cancel the common factor of and. Step 4 Plot all of the points found including the vertex. Substitute the known values of , , and into the formula and simplify.

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Multiply 2 and to get. Note: this means that the axis of symmetry is also. From , we can see that , , and. Word Problems Word. Simplify by adding and subtracting. Start with the given equation. To find the x-coordinate of the vertex, use this formula:. Step 3 Reflect those two points over the axis of symmetry to get two more points on the right side of the axis of symmetry. The final answer is. Table of Contents: Step 1: Finding the Vertex Step 2: Finding two points to left of axis of symmetry Step 3: Reflecting two points to get points right of axis of symmetry Step 4: Plotting the Points with table Step 5: Graphing the Parabola In order to graph , we can follow the steps: Step 1 Find the vertex the vertex is the either the highest or lowest point on the graph. Simplify by subtracting numbers. 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.