Grade 11 · Math · Algebra 2

11th grade Shifts, flips and stretches of the parent functions: root, reciprocal, exponential and logarithmic worksheet

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Shifts, flips and stretches of the parent functions: root, reciprocal, exponential and logarithmic

Grade 11 Math Worksheet

NameDate

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?
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?
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?
9.
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
10.
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 + 2) + 3
- g(x) = 1/(x + 3) − 2

11th grade Shifts, flips and stretches of the parent functions: root, reciprocal, exponential and logarithmic worksheet – printable — Print: 1 2 3 4 5 6

About this worksheet

Shifts, flips and stretches of the parent functions: root, reciprocal, exponential and logarithmic. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

I can move a point of a parent graph to its place on the shifted, flipped or stretched graph.
I can name a stretch or shrink, and write the equation of a moved parent graph.
I can find the number c from two graphs, and solve an equation with a root function.

Words to know

parent function: The simplest graph of a family: √x, ∛x, 1/x, 2ˣ, log₂x.

shift: Slide the whole graph left, right, up or down.

vertical stretch or shrink: Every output multiplied by the same number.

horizontal stretch or shrink: Every input multiplied by the same number.

asymptote: A line the graph gets closer and closer to.

Common mistakes

Your child moved the graph the wrong way left or right. A number inside with x moves the graph opposite to its sign.

Your child mixed up a left-right move and an up-down move.

Your child mixed up a stretch and a shrink for a number inside with x. Inside, a 3 squeezes the graph toward the y-axis.

What to say

Ask: which x makes the inside 0?

Ask: is the number inside the brackets with x, or outside?

Ask: which input gives the old output now?

Questions parents ask

What is the most common mistake with shifts, flips and stretches of the parent functions: root, reciprocal, exponential and logarithmic?

Your child moved the graph the wrong way left or right. A number inside with x moves the graph opposite to its sign.

How can I help my child with shifts, flips and stretches of the parent functions: root, reciprocal, exponential and logarithmic?

Ask: which x makes the inside 0?

Are these 11th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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