IAL Edexcel P3 Modulus Function 1

IAL Edexcel P3 Modulus Function

LO: To be able to transform functions in the form f(x)
To be able to draw Modulus Functions 

Multiple Choice

$$f(x)=x^2+1$$   What is  $$f\left(3\right)$$  

• 5

• 9

• 10

• 7

Multiple Choice

 $f(x)=x^2+1$  
What is  $f\left(-2\right)$  

• -3

• 3

• -5

• 5

Multiple Choice

 $f(x)=x^2+1$  
What is  $f\left(2x\right)$  

•  $𝟒𝒙^2+𝟏$  
  

•  $2𝒙^2+𝟏$  

•  $2x+𝟏$  
  

• 5

Multiple Choice

Describe the transformation from  $y=f\left(x\right)$  to  $y=f\left(x+2\right)$  

• Translation 2 right

• Translation 2 up

• Translation 2 left

• Translation 2 down

Multiple Choice

Describe the transformation from  $y=f\left(x\right)$  to  $y=f\left(x+2\right)$  

• Translation 2 right

• Translation 2 up

• Translation 2 left

• Translation 2 down

Multiple Choice

Describe the transformation from  $y=f\left(x\right)$  to  $y=f\left(x\right)+2$  

• Translation 2 right

• Translation 2 up

• Translation 2 left

• Translation 2 down

Multiple Choice

Describe the transformation from  $y=f\left(x\right)$  to  $y=2f\left(x\right)$  

• Stretch parallel to y-axis SF 2

• Stretch parallel to y-axis SF 0.5

• Stretch parallel to x-axis SF 2

• Stretch parallel to x-axis SF 0.5

Multiple Choice

Describe the transformation from  $y=f\left(x\right)$  to  $y=f\left(2x\right)$  

• Stretch parallel to y-axis SF 2

• Stretch parallel to y-axis SF 0.5

• Stretch parallel to x-axis SF 2

• Stretch parallel to x-axis SF 0.5

Multiple Choice

What will the coordinate (2,1) become after this transformation 

from  $y=f\left(x\right)$  

to  $y=f\left(2x\right)+3$  

• (4,-2)

• (4,4)

• (1,-2)

• (1,4)

Multiple Choice

What will the coordinate (6,5) become after this transformation 

from  $y=f\left(x\right)$  

to  $y=2f\left(\frac{1}{2}x+1\right)$  

• (6,5)

• (10,10)

• (4,10)

• (13,10)

Multiple Choice

What will the coordinate (-2,3) become after this transformation 

from  $y=f\left(x\right)$  

to  $y=2f\left(\frac{1}{3}x+1\right)-1$  

• (-1,5)

• (-9,4)

• (-9,5)

• (-1,4)

Fill in the Blanks

What is the value of

 $\left|-5+2\right|$  

Fill in the Blanks

What is the value of  $f\left(-3\right)$  

 $f\left(x\right)=\left|2\left(x\right)-2\right|$  

Fill in the Blanks

What is the value of  $f\left(5\right)$  

 $f\left(x\right)=\left|-3\left(x\right)-2\right|$  

In your books sketch the above functions

Multiple Choice

Solve

$$\left|3x-1\right|=5$$  

• $$x=2\$$  and  $$x=-\frac{4}{3}$$  

• $$x=2$$  

• $$x=-\frac{4}{3}$$  

• $$x=-2$$  and  $$x=\frac{3}{4}$$  

Multiple Choice

Solve

$$\left|\frac{x}{6}-1\right|=3$$  

• $$x=24\$$  and  $$x=12$$  

• $$x=24$$  and  $$x=-12$$  

• $$x=24$$  

• $$x=-24$$  and  $$x=12$$