Shifts, flips and stretches of the parent functions: root, reciprocal, exponential and logarithmic
Grade 11 Math Worksheet - Building Confidence
Circle the best answer, or write your answer on the line.
In a notebook, Noah moves the point (8, 2) of y = ∛x to the graph of g(x) = ∛x − 6. Where does it land?
Pia marks (3, 8) on y = 2ˣ in pencil. The graph moves to g(x) = 2^(x − 4). Where is the point now?
On a puzzle card, (8, 3) is on y = log₂x. Ren shifts the graph to g(x) = log₂x + 5. Where does the point go?
On a worksheet, Tala compares y = ∛x with g(x) = 3∛x. How does the graph change?
- Horizontal stretch by a factor of 3
- Up 3
- Right 3
- Vertical stretch by a factor of 3
In a notebook, Zee graphs y = 2ˣ and then g(x) = 2^(3x). Which move turns one into the other?
- Left 3
- Vertical stretch by a factor of 3
- Horizontal stretch by a factor of 3
- Horizontal shrink by a factor of 1/3
On a puzzle card, Bo sees y = 2ˣ and g(x) = 2^(x/2). Which move is it?
- Left 1/2
- Horizontal shrink by a factor of 1/2
- Horizontal stretch by a factor of 2
- Vertical shrink by a factor of 1/2
On a worksheet, y = √x has the row (9, 3). Esme writes the table of g(x) = 4√x. What is g(9)?
In a notebook, Jun has the row (3, 8) of y = 2ˣ. g(x) = 2 · 2ˣ. What is g(3)?
Kira works in pencil: the parent y = log₂x has the row (16, 4), and g(x) = 5 log₂x. What is g(16)?
On a puzzle card, (2, 1/2) is a row of y = 1/x. Luz needs g(2) for g(x) = 6/x. What is it?