# Quadratic Vocabulary for Algebra II

## Vertex

Definition: The point at which the axis of symmetry intersects a parabola.

## Axis of Symmetry

Definition: A line about which a quadratic function (parabola) is symmetric. The equation used to find the axis of symmetry is shown below.

## Maximum Value

Definition: The y-coordinate of the vertex of the quadratic function

f(x)=a^2 + bx + c, where a<0

## Minimum Value

Definition: The y-coordinate of the vertex of the quadratic function

f(x)=ax^2 + bx + c, where a>0

## Standard Form

Definition: A quadratic equation written in the form: ax^2 + bx+ c=0, where a, b, and c are integers, and a cannot = 0

## Vertex Form

Definition: A quadratic function in the form y= a(x-h)^2 + k, where (h,k) is the vertex of the parabola and x=h is its axis of symmetry.

## Intercept Form

Definition: y=a(x-r1)(x-r2)

## Completing the Square

Definition: All quadratic equations can be solved using the Square Root method Property by manipulating the equation until one side is a perfect square, which is called "completing the square". You are changing the equation from standard form to vertex form.

Follow the Steps below to Complete the Square:

1. Put () around ax^2 + bx

2. Factor the a value from x^2 and x

3. Take 1/2 the middle term and square it

4. Add the number and it's opposite

5. Factor perfect square trinomial

6. Rewrite in the form y= a(x-h)^2 + k (which is vertex form)
The text passage provides definitions and explanations for various terms and concepts related to quadratic functions and equations, but it does not contain any specific mathematical questions or answers to such questions.
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Given a text passage, determine:
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First, describe the content structure you found in 1-2 sentences.

Then provide your analysis in the following format:
TYPE: <one of the following values>
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- SINGLE_QUESTION_WITH_ANSWER
- MULTIPLE_QUESTIONS
- MULTIPLE_QUESTIONS_WITH_ANSWERS
system
# Quadratic Vocabulary for Algebra II

## Vertex

Definition: The point at which the axis of symmetry intersects a parabola.

## Axis of Symmetry

Definition: A line about which a quadratic function (parabola) is symmetric. The equation used to find the axis of symmetry is shown below.

## Maximum Value

Definition: The y-coordinate of the vertex of the quadratic function

f(x)=a^2 + bx + c, where a<0

## Minimum Value

Definition: The y-coordinate of the vertex of the quadratic function

f(x)=ax^2 + bx + c, where a>0

## Standard Form

Definition: A quadratic equation written in the form: ax^2 + bx+ c=0, where a, b, and c are integers, and a cannot = 0

## Vertex Form

Definition: A quadratic function in the form y= a(x-h)^2 + k, where (h,k) is the vertex of the parabola and x=h is its axis of symmetry.

## Intercept Form

Definition: y=a(x-r1)(x-r2)

## Completing the Square

Definition: All quadratic equations can be solved using the Square Root method Property by manipulating the equation until one side is a perfect square, which is called "completing the square". You are changing the equation from standard form to vertex form.

Follow the Steps below to Complete the Square:

1. Put () around ax^2 + bx

2. Factor the a value from x^2 and x

3. Take 1/2 the middle term and square it

4. Add the number and it's opposite

5. Factor perfect square trinomial

6. Rewrite in the form y= a(x-h)^2 + k (which is vertex form)
user
The text passage provides definitions and explanations for various terms and concepts related to quadratic functions and equations, but it does not contain any specific mathematical questions or answers to such questions.

TYPE: NO_QUESTION