Solve using the quadratic formula: $$2x^2 - 9x - 35 = 0$$

The solutions are $$x = -5/2$$ and $$x = 7$$ .

Solve using the quadratic formula: $$9x^2 - 7x - 4 = 0$$

The solutions are $$x = \frac{{7 \pm \sqrt{{49 + 144}}}}{18}$$ .

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

The solutions are $$x = 2$$ and $$x = -3$$ .

What is the vertex form of a quadratic equation?

The vertex form of a quadratic equation is $$y = a(x - h)^2 + k$$ , where (h, k) is the vertex of the parabola.

What is the axis of symmetry in a quadratic equation?

The axis of symmetry is a vertical line that divides the parabola into two mirror images, given by the formula $$x = -\frac{b}{2a}$$ .

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

The vertex represents the maximum or minimum point of the parabola, depending on the direction it opens.

How do you determine the direction of a parabola?

The direction of a parabola is determined by the sign of the 'a' value in the quadratic equation. If 'a' > 0, it opens upwards; if 'a'

Quadratic Formula Flashcards

Student preview

15 questions

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1.

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

2.

FLASHCARD QUESTION

Front

What does the 'a' value represent in a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

What is the discriminant in a quadratic equation?

Back

4.

FLASHCARD QUESTION

Front

What does a positive discriminant indicate?

Back

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

5.

FLASHCARD QUESTION

Front

What does a zero discriminant indicate?

Back

A zero discriminant indicates that the quadratic equation has exactly one real solution, also known as a repeated or double root.

6.

FLASHCARD QUESTION

Front

What does a negative discriminant indicate?

Back

A negative discriminant indicates that the quadratic equation has no real solutions, but two complex (imaginary) solutions.

7.

FLASHCARD QUESTION

Front

Back

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