How do you apply the square root property?

The square root property states that if $$x^2 = k$$ , then $$x = \pm \sqrt{k}$$ . This is used to solve equations in the form of a square.

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 the formula $$x = -\frac{b}{2a}$$ .

How do you find the roots of a quadratic equation using the quadratic formula?

Substitute the values of $$a$$ , $$b$$ , and $$c$$ into the quadratic formula $$x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}$$ to find the roots.

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 (upward or downward).

How do you determine if a quadratic opens upward or downward?

A quadratic opens upward if $$a > 0$$ and downward if $$a

What is a perfect square trinomial?

A perfect square trinomial is a quadratic expression that can be factored into the square of a binomial, such as $$x^2 + 6x + 9 = (x + 3)^2$$ .

Solve: $$(9r - 1)^2 = 9$$ using the square root property.

$$r = -\frac{2}{9}, \frac{4}{9}$$ .

Solving Quadratic Equations Flashcards

Student preview

19 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 are the methods to solve quadratic equations?

Back

Quadratic equations can be solved by factoring, using the quadratic formula, completing the square, or graphing.

Tags

CCSS.HSA-REI.B.4B

4.

FLASHCARD QUESTION

Front

What is the quadratic formula?

Back

Tags

CCSS.HSA-REI.B.4B

5.

FLASHCARD QUESTION

Front

What does the discriminant tell us?

Back

Tags

CCSS.HSA-REI.B.4B

6.

FLASHCARD QUESTION

Front

How do you solve a quadratic equation by factoring?

Back

Tags

CCSS.HSA-REI.B.4B

7.

FLASHCARD QUESTION

Front

What is completing the square?

Back

Tags

CCSS.HSA-REI.B.4B

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