Q:

Which is the graph of a quadratic equation that has a positive discriminant?Mark this and return

Accepted Solution

A:
The graph of a quadratic equation that has a positive discriminant is shown in the attachment.Further explanationThe quadratic function has the following general equation:[tex]\large {\boxed {f(x) = ax^2 + bx + c} }[/tex]If x₁ and xβ‚‚ are the roots of a function of a quadratic equation, then:[tex]\large {\boxed {f(x) = a(x - x_1)(x - x_2) } }[/tex]Discriminant of quadratic equation ( axΒ² + bx + c = 0 ) could be calculated by using:D = bΒ² - 4 a cFrom the value of Discriminant , we know how many solutions the equation has by condition:D < 0 β†’ No Real RootsD = 0 β†’ One Real RootD > 0 β†’ Two Real RootsLet us tackle the problem.The graph of a quadratic equation that has a positive discriminant is the one that intersect x-axis at two distinct points.The graph of a quadratic equation that has a negative discriminant is the one that never intersect x-axis.The graph of a quadratic equation that has a zero discriminant is the one that intersect x-axis at only one point.To be clearer, it can be seen in the attached image.Learn moreThe Discriminant for the Quadratic Equation : Equations : Quadratic Equations by Factoring : detailsGrade: CollegeSubject: MathematicsChapter: Quadratic EquationsKeywords: Equation , Line , Variable , Line , Gradient , Point , Quadratic , Intersection