Symmetry

Select ALL symmetries displayed in the graph.

• symmetry with respect to the x-axis

• symmetry with respect to the y-axis

• symmetry with respect to the origin

• all of the above

• none of the above

Tags

CCSS.HSF.BF.B.3

Select ALL symmetries displayed in the graph.

• symmetry with respect to the x-axis

• symmetry with respect to the y-axis

• symmetry with respect to the origin

• all of the above

• none of the above

Tags

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

All even functions have symmetry to the x-axis.

• True

• False

Tags

CCSS.HSF.BF.B.3

All odd functions have symmetry with respect to the origin.

• True

• False

Tags

CCSS.HSF.BF.B.3

The function with the graph depicted is an even function.

• True

• False

Tags

CCSS.HSF.BF.B.3

Identify the type of symmetry based on the graph:

i. symmetric with respect to the x-axis

ii. symmetric with respect to the y-axis

iii. symmetric with respect to the origin

• i only

• ii only

• iii only

• i, ii, and iii

Tags

CCSS.4.G.A.3

Use the symmetry tests to determine the type of symmetry for:  $y=3x^8-7x^2+2$  
i. symmetric with respect to the x-axis
ii. symmetric with respect to the y-axis
iii. symmetric with respect to the origin

• i only

• ii only

• iii only

• i, ii, and iii

Tags

CCSS.4.G.A.3

Use the symmetry tests to determine the type of symmetry for:  $x=y^2-4$  
i. symmetric with respect to the x-axis
ii. symmetric with respect to the y-axis
iii. symmetric with respect to the origin

• i only

• ii only

• iii only

• i, ii, and iii

Tags

CCSS.4.G.A.3

Use the symmetry tests to determine the type of symmetry for:  $x^2+y^2=9$  
i. symmetric with respect to the x-axis
ii. symmetric with respect to the y-axis
iii. symmetric with respect to the origin

• i only

• ii only

• iii only

• i, ii, and iii

Tags

CCSS.4.G.A.3

Use the symmetry tests to determine tif the given function is odd, even, or neither:  $f\left(x\right)=x^5+1$  

• odd

• even

• neither

Tags

CCSS.HSF.BF.B.3