Algebra Essentials: Transformations of Functions

How many lines of symmetry does this shape have?

Tags

CCSS.4.G.A.3

• Horizontal shift

• Vertical Translation

• Reflection over the x-axis

• Reflection over the y-axis

• Shifted up 5

• Shifted down 5

• Reflection over the x-axis

• Reflection over the y-axis

Tags

CCSS.HSF.BF.B.3

• Translated up 5

• Translated down 5

• Reflection over the x-axis

• Reflection over the y-axis

• Vertical Stretch (thinner)

• Vertical Compression (wider)

• Translation up 5 units

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

• Vertical Stretch (thinner)

• Vertical Compression (wider)

• Translation up 5 units

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

• Vertical Stretch

• Vertical Compression

• Translation down 3 units

• Reflection across the x-axis

Tags

CCSS.HSF.BF.B.3

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4
• a reflection across the line y = -4
• a translation shifting f(x) 4 units to the left
• a translation shifting f(x) 4 units to the right

Match the equation to its description.

• Reflected over x and up 4
• Reflected over x and down 4
• Reflected over x and right 4 
• Reflected over x and left 4

Match the equation to its description.

• Stretched by 2 and up 4
• Compressed by 2 and up 4
• Stretched by 2 and left 4
• Compressed by 2 and left 4