Y 2x 2 3x 5

Please ensure that your password is at least 8 characters and contains each of the following:. Enter a problem Algebra Examples Popular Problems.

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 x-intercepts. To find the x-intercept s , substitute in for and solve for. Solve the equation.

Y 2x 2 3x 5

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Divide each term in by and simplify.

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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 x-intercepts. To find the x-intercept s , substitute in for and solve for. Solve the equation. Rewrite the equation as. Factor by grouping. For a polynomial of the form , rewrite the middle term as a sum of two terms whose product is and whose sum is. Step 1.

Y 2x 2 3x 5

This site is best viewed with Javascript. If you are unable to turn on Javascript, please click here. The middle term is, -3x its coefficient is When a product of two or more terms equals zero, then at least one of the terms must be zero. Earlier we factored this polynomial by splitting the middle term. Our parabola opens up and accordingly has a lowest point AKA absolute minimum. We know this even before plotting "y" because the coefficient of the first term, 2 , is positive greater than zero. Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two x -intercepts roots or solutions of the parabola. That is, if the parabola has indeed two real solutions.

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Divide each term in by and simplify. Remove parentheses. Set equal to and solve for. Enter a problem Factor out the greatest common factor from each group. Group the first two terms and the last two terms. Find the axis of symmetry by finding the line that passes through the vertex and the focus. Please ensure that your password is at least 8 characters and contains each of the following:. 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. To write as a fraction with a common denominator , multiply by. Substitute the known values of and into the formula and simplify. Multiply by.

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Complete the square for. Set equal to. Simplify each term. 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. Find the focus. Rewrite as plus. Combine and. Substitute the known values of and into the formula and simplify. The focus of a parabola can be found by adding to the y-coordinate if the parabola opens up or down. Remove parentheses. Raising to any positive power yields. Apply the distributive property. Step 1. Simplify by adding and subtracting. Find the vertex.