Transformations of Functions Reflection Over X-Axis

Describe the sequence of transformations.

• translation down and right; reflection over y

• translation down and right; reflection over x

• reflection over y; translation up and left

• reflection over x; translation up and left

Tags

CCSS.8.G.A.3

This is a sequence of transformations. What transformation took A'B'C' to A''B''C''?

• translation left

• translation down

• reflection over the x axis

• reflection over the y axis

Tags

CCSS.8.G.A.3

This is a sequence of transformations. What transformation took ABC to A'B'C'?

• translation left

• translation down

• reflection over the x axis

• reflection over the y axis

Tags

CCSS.8.G.A.3

Describe the sequence of transformations.

• two translations

• two reflections

• a translation then a reflection

• a reflection then a translation

Tags

CCSS.8.G.A.3

Complete the mapping for a reflection over the x-axis:

(x, y) --> (​ (a)   ,​ (b)   )

• x

• -y

• -x

• y

Tags

reflections

transformations

mappings

Reflections over the x-axis change the ____-__________.

• y-coordinate

• x-coordinate

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which transformation on f(x) = x is g(x) = -f(x)

• Reflection across the y-axis

• The slope will be less steep

• The graph will be wider

• Reflection across the x-axis.

Reflect C(7, 3) over the x-axis.

Click on the correct location of C' on the graph.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

A reflection over the x-axis causes the ​ (a)   to stay the same and the ​ (b)   to switch.

The algebraic representation is ​ (c)  

• x-value

• y-value

• (x, y)-->(x, -y)

• (x, y)-->(-x, y)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which of the following functions reflects the graph f(x)=(x-1)² ?

• g(x)= - (x-1)²

• g(x)= (x+1)²

• g(x)= (-x-1)²

• g(x)= (x-1)²-1