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.

What is the factored form of a quadratic equation?

The factored form is expressed as $$y = a(x - r_1)(x - r_2)$$ , where $$r_1$$ and $$r_2$$ are the roots or x-intercepts.

How do you find the roots of a quadratic equation?

Roots can be found using the quadratic formula: $$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$$ .

What is the discriminant in a quadratic equation?

The discriminant is given by $$D = b^2 - 4ac$$ and determines the nature of the roots: if D > 0, two real roots; D = 0, one real root; D

What is the relationship between the x-intercepts and the factored form of a quadratic?

The x-intercepts of a quadratic function correspond to the values of $$x$$ that make the factored form equal to zero.

How can you identify the direction of a parabola from its equation?

The direction of the parabola can be identified by the sign of the 'a' coefficient in the standard form $$y = ax^2 + bx + c$$ .

What is the vertex of the parabola given by the equation $$y = (x + 2)^2 - 4$$ ?

The vertex is at the point (-2, -4).

How do you graph a quadratic function?

To graph a quadratic function, find the vertex, axis of symmetry, x-intercepts, and y-intercept, then plot these points and draw a smooth curve.

Different Forms of a Quadratic Flashcards

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1.

FLASHCARD QUESTION

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What is the vertex form of a quadratic equation?

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2.

FLASHCARD QUESTION

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How do you convert a quadratic equation from standard form to vertex form?

Back

3.

FLASHCARD QUESTION

Front

What are the x-intercepts of a quadratic function?

Back

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