Shifts, flips and stretches of the parent functions: root, reciprocal, exponential and logarithmic
Grade 11 Math Worksheet - Challenge Me
Circle the best answer, or write your answer on the line.
On a worksheet, f(x) = √x and g(x) = c√x. Pia reads g(9) = 15 from the graph of g. What is c?
In a notebook, Ren has f(x) = 2ˣ and g(x) = 2^(x − c), with g(7) = 8. What is c?
Tala works in pencil: g(x) = c/x is made from f(x) = 1/x, and g(4) = 5. What is c?
In a notebook, Bo has g(x) = ∛(x − 2) + 4 and wants the input with output 7. What is x?
Esme works in pencil: g(x) = 3√x − 5 and g(x) = 7. What is x?
On a puzzle card, g(x) = 2∛x + 1. Jun needs the x where g(x) = 7. What is x?
Kira's worksheet has (4, 2) on y = √x. Where is that point on g(x) = -2√(x − 1) + 3?
In a notebook, Luz moves (1, 2) from y = 2ˣ onto g(x) = 3 · 2^(x + 2) − 4. Which point is on g?
Milo redraws y = 1/x in pencil as g(x) = 4/(x − 3) + 1. Where does (2, 1/2) go?
On a puzzle card, (4, 2) is on y = log₂x. Noah needs its point on g(x) = -log₂(x + 5) + 2. Which point is it?