Learning Goal
Vertical and horizontal shifts
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 604.** Given an equation or function, find an equation or function whose graph is a translation by a specified amount up or down
**AF 706.** Given an equation or function, find an equation or function whose graph is a translation by specified amounts in the horizontal and vertical directions
**G 407.** Translate points up, down, left, and right in the coordinate plane
**AF 705.** Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c
**A 403.** Solve routine first-degree equations
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AF 604. Given an equation or function, find an equation or function whose graph is a translation by a specified amount up or down
AF 706. Given an equation or function, find an equation or function whose graph is a translation by specified amounts in the horizontal and vertical directions
G 407. Translate points up, down, left, and right in the coordinate plane
AF 705. Identify characteristics of graphs based on a set of conditions or on a general equation such as y = ax² + c
A 403. Solve routine first-degree equations
What you'll learn
- Given a function $f$, write the equation whose graph is $f$ shifted up or down by a stated amount
- Given a function $f$, write the equation whose graph is $f$ shifted left or right by a stated amount
- Explain why $y = f(x-3)$ shifts the graph right by 3, by reference to which input makes the inside zero
- Apply the point-mapping rule: a point $(p, q)$ on $f$ moves to $(p+h, q+k)$ on $y = f(x-h)+k$
- Read the shift parameters off an equation such as $y = (x+2)^2 - 5$, and state the image of the parent's key point
- Explain that a shift is rigid motion, so the shifted curve is congruent to the parent
Slides
Step through the lesson, or watch it as a narrated video
Slides
In development
Not yet available • Check back soon!