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Questions and Answers
What is the standard form of a quadratic equation?
What is the standard form of a quadratic equation?
- $y = ax^2 - bx + c$
- $y = ax^3 + bx^2 + c$
- $y = a + bx + cx^2$
- $y = ax^2 + bx + c$ (correct)
What is the vertex form of a quadratic equation?
What is the vertex form of a quadratic equation?
- $y = a(x + h)^2 + k$
- $y = a(x - h)^2 + k$ (correct)
- $y = a(x - h) + k$
- $y = ax^2 + bx + c$
What is the discriminant of a quadratic equation $ax^2 + bx + c = 0$?
What is the discriminant of a quadratic equation $ax^2 + bx + c = 0$?
- $a^2 - 4b^2 + c$
- $b^2 - 4ac$ (correct)
- $2ab - c$
- $b^2 + 4ac$
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Study Notes
Quadratic Equations
- The standard form of a quadratic equation is $ax^2 + bx + c = 0$, where a, b, and c are constants, and a ≠0.
- The vertex form of a quadratic equation is $f(x) = a(x - h)^2 + k$, where (h, k) is the vertex of the parabola.
Discriminant of a Quadratic Equation
- The discriminant of a quadratic equation $ax^2 + bx + c = 0$ is denoted by D and is equal to $b^2 - 4ac$.
- The discriminant determines the number of solutions of the quadratic equation.
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