16 flashcards · Shared on 19 August 2026 by AtomAI Library
Flip each card to check yourself.
What transformation changes y = f(x) into y = f(x) + 4?
A translation 4 units upward
What transformation changes y = f(x) into y = f(x) + 4?
A translation 4 units upward
The graph of y = f(x − 3) is obtained from y = f(x) by which transformation?
A translation 3 units to the right
Which equation translates the graph of y = f(x) by the vector (−2, 5)?
y = f(x + 2) + 5
How is the graph of y = −f(x) related to the graph of y = f(x)?
It is reflected in the x-axis
What transformation maps y = f(x) to y = f(−x)?
Reflection in the y-axis
For a positive constant a, what is the effect of y = af(x)?
A vertical stretch with scale factor a
For a positive constant a, how does y = f(ax) transform the graph of y = f(x)?
It produces a horizontal stretch with scale factor 1/a
Which transformation changes y = f(x) into y = 3f(x)?
A vertical stretch with scale factor 3
Which description matches the transformation from y = f(x) to y = f(3x)?
A horizontal stretch with scale factor 1/3
A point (p, q) lies on y = f(x). Which point must lie on y = f(x − 5) + 2?
(p + 5, q + 2)
A point (p, q) on y = f(x) is transformed under y = 2f(x). What are its new coordinates?
(p, 2q)
A point (p, q) lies on y = f(x). Where does it appear on y = f(2x)?
(p/2, q)
Which sequence describes the transformation from y = f(x) to y = 2f(x − 3) + 1?
Translate right 3, stretch vertically by 2, then translate up 1
If (4, −2) lies on y = f(x), which point lies on y = f(x + 3) − 1?
(1, −3)
What does the transformation y = |f(x)| do to the graph of y = f(x)?
It reflects only the parts below the x-axis in the x-axis
How can the graph of y = f(|x|) be constructed from y = f(x)?
Keep the right-hand part and reflect it in the y-axis