Lesson9.21.20Transformations(2)

Problem 1

• Horizontal stretch by a factor of 2 and shift down 4 units.

• Horizontal compression by a factor of 2 and shift up 4 units.

• Vertical compression by a factor of 1/2 and shift down 4 units.

Problem 2

• $g\left(x\right)=\left(\frac{1}{2}x\right)^2-4$

• $g\left(x\right)=\frac{1}{2}x^2-4$

Problem 3

• Vertical stretch by a factor of 2 and translation of 7 units right.

• Vertical compression by a factor of 2 and translation of 7 units right.

• Horizontal stretch by a factor of 1/2 and translation of 7 units right.

Problem 4

• $g\left(x\right)=2\left(x-4\right)^2+1$

• $g\left(x\right)=2\left(x-7\right)^2$

Tags

CCSS.HSF-IF.C.7A

Problem 5

• Horizontal compression by a factor of 1/3 and shift of 6 units down

• Horizontal stretch by a factor of 1/3 and shift of 6 units down

• Vertical compression and shift of 6 units up

Tags

CCSS.HSF.BF.B.3

Problem 6

• $g\left(x\right)=\left(3x\right)^2-4$

• $g\left(x\right)=3\left(x\right)^2-6$

• $g\left(x\right)=3\left(x\right)^2-4$

Problem 7

• Vertical reflection, vertical compression by a factor of 0.2, shift of 3 units left, and shift of 7 units down.

• Vertical reflection, vertical stretch by a factor of 0.2, shift of 3 units left, and shift of 7 units down.

Tags

CCSS.HSF.BF.B.3

Problem 8

• $g\left(x\right)=-0.2\left|x-1\right|-6$

• $g\left(x\right)=-0.2\left|x+1\right|-6$

• $g\left(x\right)=0.2\left|x-1\right|-6$

Tags

CCSS.HSF-IF.C.7D

Problem 9

• Vertical reflection, horizontal compression by a factor of 1/7, and translate 3 units up.

• Vertical reflection, vertical stretch by a factor of 7, and translate 3 units up.

Tags

CCSS.HSF.BF.B.3

Problem 10

• $g\left(x\right)=-\left|7x\right|+3$

• $g\left(x\right)=7\left|-x\right|+3$

Tags

CCSS.HSF-IF.C.7D