## Questions and Answers

What is the quadratic formula?

What is the point-slope form of a line?

y - y1 = m(x - x1)

What is the standard form of a linear equation?

Ax + By = C

What does 'c*' represent?

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What is the slope equation?

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What is the slope-intercept form of a line?

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What is the discriminant formula?

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What does a greater than (>) graph point resemble?

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What does a less than (<) graph point resemble?

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What is the representation of an absolute value graph?

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How is the 'greater than or equal to' notation represented?

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How is the 'less than or equal to' notation represented?

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What is set notation represented as?

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What does interval notation (-∞, ∞) indicate?

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If the slope (m) is greater than 0, how is the line oriented?

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If the slope (m) is less than 0, how is the line shaded?

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What does the equation y = a|x - h| + k represent?

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What does x/0 represent?

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What does 0/x represent?

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What does the symbol / indicate in relation to absolute value?

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What does the symbol /\ indicate in relation to absolute value?

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## Study Notes

### Quadratic Functions

- Quadratic formula:

( x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a} ) - Discriminant:

( b^2 - 4ac ); determines the nature of the roots of a quadratic equation.

### Linear Functions

- Point-slope form:

( y - y_1 = m(x - x_1) ); used to write the equation of a line given a point and slope. - Standard form:

( Ax + By = C ); where A, B, and C are integers, often used for easier identification of intercepts. - Slope-intercept form:

( y = mx + b ); where m is the slope and b is the y-intercept of the line. - Slope equation:

( \frac{y_2 - y_1}{x_2 - x_1} ); calculates the slope between two points.

### Graphing Inequalities

- Graphing ( y > k ): Curve opens upwards indicating the region above a line.
- Graphing ( y < k ): Curve opens downwards indicating the region below a line.
- Greater than or equal to (≥): Includes solid line and shaded above.
- Less than or equal to (≤): Includes solid line and shaded below.

### Absolute Value Functions

- Absolute value graph represented as V-shape (|/); the vertex indicates the minimum or maximum point of the graph.
- Equation format ( y = a|x - h| + k ); vertex occurs at point (h, k).

### Set and Interval Notation

- Set notation example: ( { x | x > b } ); describes a set of values x greater than b.
- Interval notation: ( (-\infty, \infty) ); represents all real numbers, often used to express the domain or range.

### Undefined and Horizontal Lines

- Division by zero results in undefined; indicates a vertical line.
- Any number divided by zero results in a horizontal line at y = 0.

### Additional Notes

- If slope (m) is >0: line is inclined upwards (/).
- If slope (m) is <0: line is inclined downwards ().
- For conditions involving absolute value:
- Downward-pointing curve represents negative slopes.
- Upward-pointing curve represents positive slopes.

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## Description

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