Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
**AF 705.** Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c
**G 607.** Find the coordinates of a point reflected across a vertical or horizontal line or across y = x
**AF 703.** Analyze and draw conclusions based on properties of algebra and/or functions
**F 705.** Match graphs of basic trigonometric functions with their equations
**AF 604.** Given an equation or function, find an equation or function whose graph is a translation by a specified amount up or down
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AF 705. Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c
G 607. Find the coordinates of a point reflected across a vertical or horizontal line or across y = x
AF 703. Analyze and draw conclusions based on properties of algebra and/or functions
F 705. Match graphs of basic trigonometric functions with their equations
AF 604. Given an equation or function, find an equation or function whose graph is a translation by a specified amount up or down
What you'll learn
- Describe the effect of $a$ in $y = a f(x)$ on the graph, distinguishing $|a| > 1$ from $0 < |a| < 1$
- Identify graph characteristics — opening direction, relative width, and a named point's image — from an equation of the form $y = ax^2 + c$
- Describe the effect of a negative coefficient: $y = -f(x)$ reflects across the x-axis, $y = f(-x)$ across the y-axis
- Apply the point-mapping rules $(p,q) \mapsto (p, aq)$ for a vertical stretch and $(p,q) \mapsto (p,-q)$ for an x-axis reflection
- Write the equation of a parent function subjected to a stated stretch, compression, or reflection
- Describe the effect of $b$ in $y = f(bx)$ on a graph's horizontal extent
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
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