Graph y x2 2x 3

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Graph y x2 2x 3

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Find the focus. Substitute the known values of and into the formula and simplify.

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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. A parabola has two x-intercepts. Find two numbers that when added equal -2 , and when multiplied equal The numbers 1 and -3 fit the pattern.

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. Use the form , to find the values of , , and. Consider the vertex form of a parabola. Find the value of using the formula. Step 1.

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Step 4 Plot all of the points found including the vertex. Raising to any positive power yields. Step 5 Draw a curve through all of the points to graph the parabola. Plug in and. So the second point to the left of the axis of symmetry is 0,-3 Jump to Top of Page Step 3 Reflecting the two points over the axis of symmetry: Now remember, the parabola is symmetrical about the axis of symmetry which is This means the y-value for which is one unit from the axis of symmetry is equal to the y-value of which is also one unit from the axis of symmetry. Substitute the values of , and into the formula. 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. Use the form , to find the values of , , and. Username: Password: Register in one easy step! Find , the distance from the vertex to the focus. Find the value of using the formula.

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Simplify by adding and subtracting. Find the properties of the given parabola. Find the focus. Substitute the values of , , and into the vertex form. So we essentially reflected the point -1,0 over to 3,0. In Depth In. Lessons Lessons. Cancel the common factor of. Word Problems Word. So when , which gives us the point 3,0. Rewrite the equation in vertex form.