Podcast
Questions and Answers
What is the parent function of a linear equation?
What is the parent function of a linear equation?
- Y=x (correct)
- Y=2^x
- Y=x^2
- Y=|x|
What is the parent function of a quadratic equation?
What is the parent function of a quadratic equation?
- Y=|x|
- Y=x^2 (correct)
- Y=x
- Y=2^x
What is the parent function of an exponential equation?
What is the parent function of an exponential equation?
- Y=2^x (correct)
- Y=x^2
- Y=|x|
- Y=x
What is the parent function of absolute value?
What is the parent function of absolute value?
The letter that is directly added or subtracted after x is?
The letter that is directly added or subtracted after x is?
The letter that is added or subtracted to the end of the equation is?
The letter that is added or subtracted to the end of the equation is?
This number shifts up or down but the number stays the same?
This number shifts up or down but the number stays the same?
This number shifts left or right. The positive number goes left and the negative number goes right?
This number shifts left or right. The positive number goes left and the negative number goes right?
M is what?
M is what?
What is the slope formula?
What is the slope formula?
Parallel is?
Parallel is?
Perpendicular is?
Perpendicular is?
When solving parallel equations you must?
When solving parallel equations you must?
When solving perpendicular equations you must?
When solving perpendicular equations you must?
Study Notes
Parent Functions
- Linear equation parent function is defined as Y = x.
- Quadratic equation parent function is represented by Y = x².
- Exponential equation parent function is Y = 2^x.
- Absolute value parent function is Y = |x|.
Transformations
- The variable H represents horizontal shifts; a positive value shifts left, while a negative value shifts right.
- The variable K indicates vertical shifts; it shifts the graph up or down without changing the shape.
Slope and Equations
- M refers to slope, calculated as rise over run.
- The slope formula is expressed as m = (y₂ - y₁) / (x₂ - x₁).
- Parallel lines have the same slope, indicating they will never intersect.
- Perpendicular lines have slopes that are negative reciprocals of each other.
Solving Equations
- To solve parallel equations, maintain the same slope (m) but adjust the y-intercept (b).
- When solving perpendicular equations, invert the slope (m) from negative to positive and select any number for the y-intercept (b).
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Description
This quiz covers the parent functions of various equations, including linear, quadratic, exponential, and absolute value functions. Additionally, it discusses transformations related to horizontal and vertical shifts, as well as the concepts of slope in equations and the characteristics of parallel and perpendicular lines.
