Solve using the Quadratic Formula: $$x^2 + 4x - 40 = -8$$

The solutions are $$x = -8$$ and $$x = 4$$ .

Solve using the Quadratic Formula: $$9u^2 - 11u + 7 = 0$$

The solution is $$u = \frac{11 \text{±} \text{√}(-131)}{18}$$ .

Solve the quadratic equation: $$2p^2 - 2p - 55 = 5$$

The solutions are $$p = 6$$ and $$p = -5$$ .

Solve using a method of your choice: $$k^2 - 12k + 23 = 0$$

The solutions are $$k = 6 + \text{√}13$$ and $$k = 6 - \text{√}13$$ .

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

The vertex of a parabola represented by the quadratic equation $$y = ax^2 + bx + c$$ can be found using the formula $$x = -\frac{b}{2a}$$ . The y-coordinate can be found by substituting this x-value back into the equation.

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 are the roots of a quadratic equation?

The roots of a quadratic equation are the values of $$x$$ that make the equation equal to zero. They can be found using the Quadratic Formula or by factoring.

What is the standard form of a quadratic equation?

The standard form of a quadratic equation is $$y = ax^2 + bx + c$$ , where $$a, b,$$ and $$c$$ are constants.

How do you determine if a quadratic opens upwards or downwards?

A quadratic opens upwards if the coefficient $$a > 0$$ and downwards if $$a

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

The coefficient 'a' determines the direction of the parabola (upward or downward) and affects the width of the parabola. A larger absolute value of 'a' makes the parabola narrower.

What is completing the square in relation to quadratic equations?

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

Solving Quadratics with the Quadratic Formula Flashcards

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1.

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

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2.

FLASHCARD QUESTION

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What does the discriminant tell us in a quadratic equation?

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3.

FLASHCARD QUESTION

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4.

FLASHCARD QUESTION

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5.

FLASHCARD QUESTION

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6.

FLASHCARD QUESTION

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7.

FLASHCARD QUESTION

Front

What is a quadratic equation?

Back

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