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?
On a puzzle card, (-8, -2) is on y = ∛x. Ren moves it to g(x) = ∛(x + 1) − 3. Which point is on g?
In a notebook, Zee moves (8, 3) from y = log₂x to g(x) = log₂(-x). Which point is on g?
Ari redraws y = 2ˣ in pencil as g(x) = -2ˣ. Where does (3, 8) go?
On a puzzle card, (9, 3) is on y = √x. Bo needs its point on g(x) = √(-x). Which point is it?
On a worksheet, Esme squeezes y = √x sideways to make g(x) = √(3x). Where does (9, 3) go?
“the curve y = log₂x moved” In a notebook, Luz has the graph of g, made by moving y = log₂x. What is the equation of g?
- g(x) = log₂x + 4
- g(x) = log₂(x + 4)
- g(x) = log₂(x − 4)
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 + 1) + 2
- g(x) = √(x + 2) + 1
On a puzzle card, Noah sees g, the graph of y = 1/x moved. Which equation is g?
- g(x) = 1/(x + 3) − 2
- g(x) = 1/(x − 3) − 2
- g(x) = 1/(x + 2) + 3