Podcast
Questions and Answers
What is the formula for a horizontal translation?
What is the formula for a horizontal translation?
- f(x-h) (correct)
- f(x)+k
- y=f(-x)
- y=-f(x)
What is the formula for a vertical translation?
What is the formula for a vertical translation?
- y=-f(x)
- y=f(-x)
- f(x-h)
- f(x)+k (correct)
What is the reflection in the x-axis?
What is the reflection in the x-axis?
y=-f(x)
What is the reflection in the y-axis?
What is the reflection in the y-axis?
What does a vertical stretch look like mathematically?
What does a vertical stretch look like mathematically?
What is the formula for a horizontal stretch?
What is the formula for a horizontal stretch?
What is the formula for a horizontal shrink?
What is the formula for a horizontal shrink?
What are the zeros of a function?
What are the zeros of a function?
HOY indicates a horizontal line with a slope of 0, represented by y=______.
HOY indicates a horizontal line with a slope of 0, represented by y=______.
VUX indicates a vertical line with an undefined slope, represented by x=____.
VUX indicates a vertical line with an undefined slope, represented by x=____.
What is the standard form of a linear equation?
What is the standard form of a linear equation?
What is the slope-intercept form of a linear equation?
What is the slope-intercept form of a linear equation?
Flashcards are hidden until you start studying
Study Notes
Translations
- Horizontal translation represented as f(x-h), shifting the graph right or left by h units.
- Vertical translation expressed as f(x) + k, moving the graph up or down by k units.
Reflections
- Reflection in the x-axis defined as y = -f(x), creating a mirror image across the x-axis.
- Reflection in the y-axis described as y = f(-x), creating a mirror image across the y-axis.
Stretches and Shrinks
- Vertical stretch noted as y = a*f(x), where a is an integer greater than 1, elongating the graph vertically.
- Vertical shrink represented as y = a*f(x), where a is a fraction, compressing the graph vertically.
- Horizontal stretch indicated as -y = f(ax), where a is a fraction, expanding the graph horizontally.
- Horizontal shrink shown as -y = f(ax), where a is an integer greater than 1, narrowing the graph horizontally.
Function Zeros and Characteristics
- Zeros of a function are variable values where the function's output is zero, also known as function roots.
Special Lines
- HOY means horizontal line with a slope of 0, described by the equation y = ____.
- VUX signifies a vertical line with an undefined slope, expressed as x = #.
Forms of Equations
- Standard form of a linear equation is given by Ax + By = C.
- Slope-intercept form of a linear equation is represented as y = mx + b, where m is the slope and b is the y-intercept.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
