# Write a quadratic equation in standard form with the given solution

Can you determine the equation of a quadratic given its solutions? We need to check another point. Updated May 04, By Chance E. Thankfully, the graph shows a scale where each displayed unit on the x and y axes represents one unit.

For an example, let the vertex be 2, 3. Tips Set either form to zero and solve the equation to find the points where the parabola crosses the x-axis.

Gartneer Just as a quadratic equation can map a parabola, the parabola's points can help write a corresponding quadratic equation. Solve for a Solve the equation for a. Substitute a Substitute the value of a into the equation from Step 1.

Since 0, is on this graph, it will satisfy the equation of the graph. This equation can be solved by factoring. Convert to Standard Form Square the expression inside the parentheses, multiply the terms by a's value and combine like terms to convert the equation to standard form. Parabolas have two equation forms — standard and vertex.

Substitute in Coordinates for the Point Substitute the point's coordinates for x and y in the equation. In this example, let the point be 3, 8.

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