y = x + 4 − 12 y=\sqrt{x+4}-12 y = x + 4 <path d="M95,702c-2.7,0,-7.17,-2.7,-13.5,-8c-5.8,-5.3,-9.5, -10,-9.5,-14c0,-2,0.3,-3.3,1,-4c1.3,-2.7,23.83,-20.7,67.5,-54c44.2,-33.3,65.8, -50.3,66.5,-51c1.3,-1.3,3,-2,5,-2c4.7,0,8.7,3.3,12,10s173,378,173,378c0.7,0, 35.3,-71,104,-213c68.7,-142,137.5,-285,206.5,-429c69,-144,104.5,-217.7,106.5, -221c5.3,-9.3,12,-14,20,-14H400000v40H845.2724s-225.272,467,-225.272,467 s-235,486,-235,486c-2.7,4.7,-9,7,-19,7c-6,0,-10,-1,-12,-3s-194,-422,-194,-422 s-65,47,-65,47z M834 80H400000v40H845z"> − 1 2 Describe the horizontal translation of the function:

The function is being moved 4 units to the left

The function is being moved 4 units to the right

The function is being moved 12 units to the left

The function is being 12 units to the right

y = 1 3 ∣ x + 1 9 ∣ y=\frac{1}{3}\left|x+\frac{1}{9}\right| y = 3 1 ∣ ∣ ∣ ∣ x + 9 1 ∣ ∣ ∣ ∣ What full description of transformation of the given function.

The parent of the absolute function is being moved \frac{1}{9} 9 1 units to the left and is being vertically compressed by x \frac{1}{3} 3 1 .

The parent of the absolute function is being moved 1 9 \frac{1}{9} 9 1 units to the right.

The parent of the absolute function is being moved \frac{1}{9} 9 1 units to the right and is being vertically compressed by x \frac{1}{3} 3 1 .

The parent of the absolute function is being vertically compressed by x \frac{1}{3} 3 1 .

Transformation of graphs

Authored by Colin Ferreira

Mathematics

11th Grade

CCSS covered

Used 12+ times

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20 questions

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MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which equation is shown?

y = (x-2)²

y = (x+2)²

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Which equation shows a function that is translated left 4 and 7 up?

y = |x + 4| + 7

y = (x - 4)² + 7

y = (x + 7)² - 4

y = |x + 4| - 7

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

MULTIPLE CHOICE QUESTION

1 min • 1 pt

.
The blue graphs is the parent function f(x)=|x|, the red must be

g(x)=|x+2|

g(x)=|x|+2

g(x)=|x-2|

g(x)=|x|-2

Tags

CCSS.HSF.BF.B.3

CCSS.HSF.IF.B.4

MULTIPLE CHOICE QUESTION

1 min • 1 pt

If the blue graph is the parent function, what is the equation of the red (transformed) function?

g(x)=x³+1

g(x)=x³-1

g(x)=(x-1)³

g(x)=(x+1)³

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?

A. g(x)=3x²

B. g(x)=1/3x²

C. g(x) = x² - 3

D. g(x) = (x-3)²

Tags

CCSS.HSF.BF.B.3

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.11

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

The graph of g is a vertical translation 2 units up of the graph of f

The graph of f is a horizontal translation two units left of g

The graph of g is a vertical stretch by a factor of 2 of the graph of f

The graph of g is a reflection of the graph of f

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Name the parent function.

linear

quadratic

absolute value

cubic

Tags

CCSS.HSF.IF.B.4

CCSS.HSA.REI.D.10

CCSS.HSF.IF.C.7

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Transformation of graphs

Which equation is shown?

Which equation shows a function that is translated left 4 and 7 up?

. The blue graphs is the parent function f(x)=|x|, the red must be

If the blue graph is the parent function, what is the equation of the red (transformed) function?

The graph shows the function f(x)=x2 in blue and another function g(x) in red. Which could be the equation for g(x)?

Use the graphs of f and g to describe the transformation from the graph of f to the graph of g.

Name the parent function.

Name the parent function.

Name the parent function.

Name the parent function.

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.
The blue graphs is the parent function f(x)=|x|, the red must be

The graph shows the function f(x)=x² in blue and another function g(x) in red. Which could be the equation for g(x)?