Transformations of Functions Graphs

• A
• B
• C
• D

Tags

CCSS.HSF-IF.C.7B

Triangle P'Q'R' is the image of triangle PQR under a certain rotation. Which of the points A, B, C or D is the centre of rotation?

• A

• B

• C

• D

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The coordinates of the image of point (3, 4) under a reflection in the y-axis are

• (-3, -4)

• (-3, 4)

• (3, -4)

• (4, 3)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

In the diagram, quadrilateral Q is the image of quadrilateral P under a translation. The translation is _____.

Tags

CCSS.HSG.CO.A.2

In the diagram, point P is rotated anticlockwise through 90⁰ about point (1, -1).

The coordinates of the image of P are

• (-3, -2)

• (-1, -4)

• (-1, 0)

• (3, 2)

Tags

CCSS.8.G.A.3

CCSS.HSG.CO.A.5

The diagram shows the graph of the function

• y = x – 1

• y = x² + 1

• y = x² − 1

• y = x³ + 1

Tags

CCSS.HSF-IF.C.7A

Which transformation will occur if f(x) = x is replaced with f(x) + 2?

• Translation left 2 units

• Translation right 2 units

• Vertical translation up by 2 units.

• Reflection across the x-axis.

Which transformation will occur if f(x) = x is replaced with 2f(x)?

• Vertical stretch by a factor of 2

• Vertical compression by a factor of 1/2

• Vertical translation up by 2 units.

• Horizontal compression by a factor of 1/2

How did the equation shift from the parent function?

• Shifted up "c" units

• Shifted down "c" units

• Stretches vertically

• Shifted right "c" units

How did the equation shift from the parent function? y = f(x - 4)

• Shift right by 4

• Shift left by 4

• Horizontal Stretch by 4

• Vertical Stretch by 4

• Shift down by 4