What is the factored form of a quadratic equation?

The factored form of a quadratic equation is expressed as $$a(x - r_1)(x - r_2)$$ , where r_1 and r_2 are the roots of the equation.

How do you solve a quadratic equation by completing the square?

To solve by completing the square, rearrange the equation to isolate the constant, then add the square of half the coefficient of x to both sides, and factor the left side.

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 images, given by the equation $$x = -\frac{b}{2a}$$ .

What are the roots of the equation $$x^2 - 5x + 6 = 0$$ ?

The roots are $$x = 2$$ and $$x = 3$$ , found by factoring as $$(x - 2)(x - 3) = 0$$ .

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

How do you find the y-intercept of a quadratic function?

The y-intercept of a quadratic function is found by evaluating the function at $$x = 0$$ , which gives the point $$(0, c)$$ in the standard form $$y = ax^2 + bx + c$$ .

What is the relationship between the roots and the coefficients of a quadratic equation?

For a quadratic equation $$ax^2 + bx + c = 0$$ , the sum of the roots is $$-\frac{b}{a}$$ and the product of the roots is $$\frac{c}{a}$$ .

What is the process of graphing a quadratic function?

To graph a quadratic function, find the vertex, axis of symmetry, y-intercept, and plot additional points to shape the parabola.

Solving Quadratic Equations Flashcards

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1.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

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