How do you identify 'a', 'b', and 'c' in the equation $$2x^2 - 3x - 5 = 0$$ ?

In the equation $$2x^2 - 3x - 5 = 0$$ , 'a' = 2, 'b' = -3, and 'c' = -5.

Solve the quadratic equation $$x^2 + 2x - 15 = 0$$ using the Quadratic Formula.

Using the Quadratic Formula, the solutions are $$x = 3$$ and $$x = -5$$ .

Solve the quadratic equation $$2x^2 + 7x - 15 = 0$$ using the Quadratic Formula.

Using the Quadratic Formula, the solutions are $$x = \frac{3}{2}$$ and $$x = -5$$ .

What is the first step in using the Quadratic Formula?

The first step is to identify the coefficients 'a', 'b', and 'c' from the quadratic equation in standard form $$ax^2 + bx + c = 0$$ .

What is the Square Root Property?

The Square Root Property states that if $$x^2 = k$$ , then $$x = \\pm \\sqrt{k}$$ , which can be used to solve quadratic equations.

What is completing the square?

Completing the square is a method used to solve quadratic equations by rewriting the equation in the form $$(x - p)^2 = q$$ .

What is factoring in the context of quadratic equations?

Factoring involves expressing the quadratic equation as a product of two binomials, allowing for easier solution of the equation.

What is the significance of the vertex in a quadratic function?

The vertex of a quadratic function is the highest or lowest point on the graph, depending on the direction of the parabola.

How can you determine the axis of symmetry for a quadratic function?

The axis of symmetry can be found using the formula $$x = -\frac{b}{2a}$$ , where 'a' and 'b' are the coefficients from the quadratic equation.

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 are the coefficients in a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

Back

4.

FLASHCARD QUESTION

Front

What is the discriminant in the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

What does a positive discriminant indicate?

Back

A positive discriminant indicates that the quadratic equation has two distinct real roots.

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

What does a zero discriminant indicate?

Back

A zero discriminant indicates that the quadratic equation has exactly one real root (a repeated root).

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that the quadratic equation has no real roots, but two complex roots.

Tags

CCSS.HSA-REI.B.4B

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