Transformations in Algebra

Which answer shows a reflection across the y-axis?

• a

• b

• c

• d

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

How do we define movement in Math?

• By describing Translations

• By describing Rotations

• By describing Reflections

• By describing Transformations

• By describing Dilations

Tags

CCSS.HSG.CO.A.2

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

Tags

CCSS.8.G.A.3

Match the equation to its description.

• Stretched by 4 and up 4

• Compressed by 4 and up 4

• Stretched by 4 and left 4

• Compressed by 4 and left 4

If the blue is f(x)=x^2, then the red must be

• g(x)=x² - 5

• g(x)=x² + 5

• g(x)=(x - 5)²

• g(x)=(x + 5)²

What steps transform the graph y = x² to y = 2(x+2)² - 5?

• Compress by 2, shifted 2 units left and 5 down

• Stretch by 5, shifted 5 units left and 2 down

• Stretch by 2, shifted 2 units left and 5 down

• Compress by 5, shifted 2 units left and 2 down

What steps transform the graph y = x² to y = x² + 8

• shifted up 8 units

• shifted down 8 units

• shifted left 8 units

• shifted right 8 units

What steps transform the graph y = x² to y = (x - 4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units

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

• reflection across the line x = -4

• reflection across the line y = -4

• translation shifting f(x) 4 units to the left

• translation shifting f(x) 4 units to the right

Match the equation to its description.

• Vertically stretched by 2 and shifted up 4

• Vertically compressed by 2 and shifted up 4

• Vertically stretched by 2 and shifted left 4

• Vertically compressed by 2 and shifted left 4