Solve the quadratic equation: $$x^2 - 100 = 0$$

The roots are $$x = -10, 10$$ .

What is the vertex of a quadratic function?

The vertex is the highest or lowest point of the parabola represented by the quadratic function, found at $$x = -\frac{b}{2a}$$ .

What is the axis of symmetry in a quadratic function?

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

What is the standard form of a quadratic function?

The standard form is $$f(x) = ax^2 + bx + c$$ .

What is the factored form of a quadratic function?

The factored form is $$f(x) = a(x - r_1)(x - r_2)$$ , where $$r_1$$ and $$r_2$$ are the roots.

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

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

What is completing the square?

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

Solving Quadratics Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What are the roots of a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

How can you find the roots of a quadratic equation?

Back

4.

FLASHCARD QUESTION

Front

What does the discriminant tell you about a quadratic equation?

Back

5.

FLASHCARD QUESTION

Front

Back

6.

FLASHCARD QUESTION

Front

Back

7.

FLASHCARD QUESTION

Front

What is another term for the x-intercepts of a quadratic function?

Back

The x-intercepts are also known as the roots of the quadratic function.

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