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 function?

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

What are the x-intercepts of a quadratic function?

The x-intercepts are the points where the graph of the quadratic function crosses the x-axis, found by setting $$y = 0$$ .

What is the role of the leading coefficient in a quadratic function?

The leading coefficient (a) determines the direction of the parabola: if positive, it opens upwards; if negative, it opens downwards.

How can you determine if a quadratic is factorable?

A quadratic is factorable if its discriminant is a perfect square, indicating that it has rational roots.

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

The sum of the roots is given by $$-\frac{b}{a}$$ and the product of the roots is given by $$\frac{c}{a}$$ .

What is a quadratic equation?

A quadratic equation is a polynomial equation of degree 2, typically in the form $$ax^2 + bx + c = 0$$ .

What is the purpose of graphing a quadratic function?

Graphing a quadratic function helps visualize its properties, such as the vertex, axis of symmetry, and intercepts.

Flashcard over choosing the best method Flashcards

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15 questions

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1.

FLASHCARD QUESTION

Front

What is the standard form of a quadratic equation?

Back

2.

FLASHCARD QUESTION

Front

What is the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

3.

FLASHCARD QUESTION

Front

When should you use the Quadratic Formula to solve a quadratic equation?

Back

Use the Quadratic Formula when the quadratic cannot be easily factored or when the coefficients are complex.

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What does it mean to factor a quadratic equation?

Back

5.

FLASHCARD QUESTION

Front

What is the method of completing the square?

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

What is the significance of the discriminant in the Quadratic Formula?

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

How do you solve a quadratic equation by taking square roots?

Back

To solve a quadratic equation by taking square roots, isolate the squared term and then take the square root of both sides.

Tags

CCSS.HSA-REI.B.4B

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