#1
What is the general form of a quadratic equation?
ax^2 + bx + c = 0
ExplanationStandard form of a quadratic equation.
#2
In the quadratic equation 'ax^2 + bx + c = 0,' what is the discriminant?
b^2 - 4ac
ExplanationExpression used to determine nature of roots.
#3
If the discriminant of a quadratic equation is zero, what can be said about its solutions?
It has one real solution
ExplanationIndicates a repeated real root.
#4
What is the vertex form of a quadratic equation?
y = a(x - h)^2 + k
ExplanationAlternative form centered around vertex.
#5
What does the axis of symmetry represent in a quadratic equation?
The line through the vertex dividing the parabola into two symmetrical parts
ExplanationLine of mirror symmetry in a parabola.
#6
What is the name of the formula to find the solutions of a quadratic equation?
Quadratic Formula
ExplanationFormula providing roots of a quadratic equation.
#7
If a quadratic equation has complex solutions, what can be said about its discriminant?
Discriminant is negative
ExplanationImplies imaginary roots.
#8
If a quadratic equation has no real solutions, what can be said about its discriminant?
Discriminant is negative
ExplanationIndication of non-real roots.
#9
If a quadratic equation has one real solution, what can be said about its discriminant?
Discriminant is zero
ExplanationSingle real root when discriminant is zero.