How many times does the graph of a quadratic equation ( a parabola) cross the x-axis?

Related BrainMass Solutions

• Parabolas and Complex Roots

  151209 Parabolas and Complex Roots How many times does the graph of a quadratic equation (a parabola) cross the x-axis?

• parabola

  So, when D<0, the parabola y=ax^2+bx+c doe not intersect the x-axis, when D=0 the graph touches the x-axis, andwhen D>0 the parabola intersects the x-axis at two different points. The parabola is the graph of the quadratic function y=ax^2+bx+c.

• Quadratic equations, discriminant, and graph

  When the discriminant is negative, the graph does not cross the x-axis, and if you solved for x when y = 0, you would get a solution that contained a square root of a negative number.

• Quadratic Equation: Discriminants and Complex Numbers

  If the disciminant is negative, the euqation ax^2+bx+c=0 has no real solutions (only imaginary ones) so this means that the parabola does not cross the x=axis at all. (it is what they call positive definite) So to summarise the situation.

• True and False about Characteristics of a Parabola

  The graph of y will always cross the y-axis. F. The graph of y is symmetric about a line through its vertex parallel to the y-axis. G. If the graph of y just touches the x-axis the equation y=0 has just one solution. H.

• parabolic graph

  So, the total number of intercepts varies from 1 to 3 How do you compute the intercepts in a quadratic function?: To computer x-intercepts, we generally put the value y=0 in the equation to the graph and solve for x.

• The discriminant of the quadratic equation and parabola

  In this case, the parabola does not intersect the x-axis at all. The solution elaborates on the relationship of the discriminant and the quadratic equation.

• The discriminant of the quadratic equation and parabola - y = ax2 + bx + c

  The solution elaborates on the relationship of the discriminant and the quadratic equation. It further explains how to judge the graph of the parabola based on the value of the discriminant.

• The discriminant of the quadratic equation and parabola

  The solution elaborates on the relationship of the discriminant and the quadratic equation. It further explains how to judge the graph of the parabola based on the value of the discriminant.