Reflections on a Graph

What axis is the triangle being reflected over?

• X-axis

• Y-axis

Answer explanation

Think of your axis of reflection as a book spine: If you "turn the page" to move your figure from preimage to image, where would the page have been attached?

In this case, the y-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

What axis is the image reflected over?

• X-axis

• Y-axis

Answer explanation

Think of your axis of reflection as a book spine: If you "turn the page" to move your figure from preimage to image, where would the page have been attached?

In this case, the x-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

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

• y-coordinate

• x-coordinate

Answer explanation

If you compare the points in the visual example, you can see that the x-values are the same but the sign of the y-value was changed.

Therefore, reflecting over the x-axis changes the y-coordinate.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

When k = −1, the graph of g is thegraph of f reflected over the ​ (a)  

• x-axis

• y-axis

Tags

CCSS.HSF.BF.B.3

The blue line is y=f(x), which line is y=-f(x)?

• 
• 
• 
• 

Tags

CCSS.HSF.BF.B.3

The blue line is f(x), which line is -f(x)?

• 
• 
• 
• 

The blue line is f(x), which line is f(-x)?

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

Which answer shows a reflection across the x-axis?

• a

• b

• c

• d

Answer explanation

Figure A shows a reflection across the line y=x.

Figure B shows a rotation.

Figure C shows a reflection across the x-axis.

Figure D Shows a reflection across the y-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Identify the transformation from ABC to A'B'C'.

• 90^o clockwise rotation

• 90^o counter clockwise rotation

• Reflection across the y-axis

• Reflection across the x-axis

Answer explanation

The image appears to be flipped from the preimage, which indicates a reflection.

The figure would need to be flipped/reflected across the x-axis to be oriented the way it is. Think of it like a page turned from preimage to image, with the page "attached" at the x-axis.

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

Which series of transformations were performed in the figure?

• Translation 5 units down, reflection over the y-axis

• Reflection over the x-axis, translation 6 units right

• Rotation 90^o clockwise, reflection over the x-axis

• Rotation 180^o clockwise, reflection over the y-axis

Answer explanation

A 90 degree clockwise rotation would turn the figure on its side.

Then, a reflection across the x-axis would flip the figure to map to the final image.

Tags

CCSS.8.G.A.3