Graphs of Transformation Functions

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

Which of the trapezium is an image of trapezium PQRS under a certain enlargement?

Tags

CCSS.8.G.A.3

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

• F

• G

• H

• J

• F

• G

• H

• J

• K

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left

• horizontal shift left and vertical shift down

• horizontal shift right and vertical shift up

• horizontal shift up and vertical shift right

If f(x) = x³ is changed to f(x) = - (x + 3)³ + 2, how is the graph transformed?

Shape Change: ​ (a)  

Horizontal Change ​ (b)  

Vertical Change: ​ (c)  

Parent Function: ​ (d)  

• Flip

• Vertical Stretch

• Horizontal Stretch

• Left 3

• Right 3

• Right 2

• Up 2

• Down 2

• Polynomial: Cubic

• Quadratic

Tags

CCSS.HSF.BF.B.3

A student graphed f(x) = x + 1 and h(x) =f(x - 7) on the same graph. Which statement describes the graphs of f and h?​

The graph of f(x) ​ (a)   to create the graph of h.

• is shifted right 7 units

• is shifted up 7 units

• is shifted left 7 units

• is shifted down 7 units

• Flip

• Vertical Compression

• Same as

• Vertical Stretch

• Horizontal Stretch

• Horizontal Compression

• (-4,-1)

• (4,1)

Tags

CCSS.HSF.BF.B.3