A-Level Maths: Transformations of Graphs

Which of the following transformations is a translation?

• f(x+2)

• 2f(x)

• f(-x)

Tags

CCSS.HSF.BF.B.3

Which of the following transformations 'occur in the x-direction'? (select all correct answers)

• f(x+3)

• f(x)+3

• 3f(x)

• f(3x)

Tags

CCSS.HSF.BF.B.3

When transforming y=f(x)

What function would represent a stretch of scale factor 2 parallel to the y-axis ?

(a)  

Tags

CCSS.HSF.BF.B.3

What type of transformation is represented by the function f(-x)?

• Reflection

• Rotation

• Translation

• Enlargement

Tags

CCSS.HSF.BF.B.3

Which of the following transformations is a stretch?

• f(x+4)

• f(x)+4

• f(4x)

• f(-x)

Tags

CCSS.HSF.BF.B.3

f(x + 10) is a translation parallel to the x-axis, by how many units?

• 10

• - 10

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5

CCSS.HSG.CO.B.6

What is the scale factor for the following stretch, parallel to the y-axis?

0.1 f(x)

• 0.1

• 1

• 10

• 100

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.SRT.A.1

What values of a and b do you need to represent a reflection in the x-axis?

a f(bx)

• a=1, b=1

• a=-1, b=-1

• a=1, b=-1

• a=-1, b=1

Tags

CCSS.HSF.BF.B.3

A function, f(x), has been translated by 2 units upwards, parallel to the y-axis.The translated graph appears to have the equation:
 $y=\left(x+4\right)^2-2$   

What was the equation of the original function?

•  $y=\left(x+2\right)^2-2$  

•  $y=\left(x+6\right)^2-2$  

•  $y=\left(x+4\right)^2-4$  

•  $y=\left(x+4\right)^2$  

Tags

CCSS.HSF.BF.B.3

The graph, $y=3x^2$  is translated by two units to the left and then four units down. 

What is the equation of the translated graph?

•  $y=\left(3x+6\right)^2-4$  

•  $y=\left(3x+2\right)^2-4$  

•  $y=3\left(x+2\right)^2-4$  

Tags

CCSS.HSF.BF.B.3

CCSS.HSG.CO.A.2

CCSS.HSG.CO.A.4

CCSS.HSG.CO.A.5