What is a quadratic equation?

A quadratic equation is a polynomial equation of degree 2, typically in the form $$ax^2 + bx + c = 0$$ where @@a eq 0@@.

What are the coefficients in a quadratic equation?

In the quadratic equation $$ax^2 + bx + c = 0$$ , $$a$$ is the coefficient of $$x^2$$ , $$b$$ is the coefficient of $$x$$ , and $$c$$ is the constant term.

What does it mean if the discriminant is zero?

If the discriminant is zero, the quadratic equation has exactly 1 real solution (a repeated root).

How do you determine if a quadratic equation has complex solutions?

If the discriminant is negative (i.e., $$b^2 - 4ac

What is the vertex of a parabola represented by a quadratic equation?

The vertex of the parabola represented by the quadratic equation $$y = ax^2 + bx + c$$ can be found at the point $$igg(-\frac{b}{2a}, figg(-\frac{b}{2a}igg)$$ .

What is the axis of symmetry in a quadratic function?

The axis of symmetry of a quadratic function $$y = ax^2 + bx + c$$ is the vertical line given by $$x = -\frac{b}{2a}$$ .

What is the significance of the leading coefficient in a quadratic equation?

The leading coefficient $$a$$ determines the direction of the parabola: if $$a > 0$$ , the parabola opens upwards; if $$a

How can you factor a quadratic equation?

A quadratic equation can be factored into the form $$(px + q)(rx + s) = 0$$ if it can be expressed as a product of two binomials.

Quadratic Formula Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

2.

FLASHCARD QUESTION

Front

What does the discriminant tell us about the roots of a quadratic equation?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

If the discriminant is positive, how many real solutions does the quadratic equation have?

Back

2 Real Solutions.

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

Solve the quadratic equation: 2x^2 + 7x - 15 = 0

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

Solve the quadratic equation: 3x^2 + 3x + 3 = 0

Back

Tags

CCSS.HSA-REI.B.4B

CCSS.HSN.CN.C.7

6.

FLASHCARD QUESTION

Front

What is the formula for the discriminant?

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

Use the quadratic formula to solve: 2x^2 + 2x - 12 = 0

Back

Tags

CCSS.HSA-REI.B.4B

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