Solve the equation using the Square Roots Method: $$2x^2 - 3 = 49$$

$$x = -\sqrt{26}, \sqrt{26}$$ .

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 significance of the leading coefficient in a quadratic equation?

The leading coefficient ( $$a$$ ) determines the direction of the parabola: if $$a > 0$$ , the parabola opens upwards; if $$a

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.

How can you graph a quadratic function?

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

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 $$\frac{c}{a}$$ .

A parabola is the graph of a quadratic function, characterized by its U-shape and defined by its vertex and direction of opening.

Solutions to Quadratics (Graphing & Square Root) 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 is the standard form of a quadratic equation?

Back

3.

FLASHCARD QUESTION

Front

What is the vertex of a parabola?

Back

4.

FLASHCARD QUESTION

Front

What does the discriminant of a quadratic equation tell us?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

How do you find the zeros of a quadratic function?

Back

Tags

CCSS.HSF-IF.C.7C

6.

FLASHCARD QUESTION

Front

What is the Square Roots Method for solving quadratic equations?

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

Back

Tags

CCSS.HSA-REI.B.4B

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