Shifts, flips and stretches of the parent functions: root, reciprocal, exponential and logarithmic
Grade 11 Math Worksheet
Circle the best answer, or write your answer on the line.
Milo's worksheet has (9, 3) on y = √x. The graph moves to g(x) = √(x − 2) + 3. Where does the point land?
In a notebook, Noah moves the point (2, 4) of y = 2ˣ onto g(x) = 2^(x + 3) − 5. Which point is on g?
Pia shifts y = 1/x in pencil to g(x) = 1/(x − 4) + 2. Where does (1, 1) go?
On a puzzle card, (-8, -2) is on y = ∛x. Ren moves it to g(x) = ∛(x + 1) − 3. Which point is on g?
Tala's worksheet has (8, 2) on y = ∛x. Where is that point on g(x) = -∛x?
In a notebook, Zee moves (8, 3) from y = log₂x to g(x) = log₂(-x). Which point is on g?
On a puzzle card, (9, 3) is on y = √x. Bo needs its point on g(x) = √(-x). Which point is it?
In a notebook, (3, 8) is on y = 2ˣ. Jun draws g(x) = 2^(x/2). Which point of g comes from it?
Kira's worksheet shows the graph of g, a moved copy of y = 2ˣ. Which equation is g?
- g(x) = 2ˣ + 3
- g(x) = 2^(x − 3)
- g(x) = 2ˣ − 3
Milo traces the graph of g in pencil; it is y = √x moved. Which equation matches it?
- g(x) = √(x + 2) + 1
- g(x) = √(x − 2) + 1
- g(x) = √(x + 1) + 2