Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 1 - Algebra>EXERCISE 1B>Q 1

MEDIUM

AS and A Level

IMPORTANT

Earn 100

Sketch the graphs of function $y = |3 - x|$ showing the coordinates of the points where the graph meets the axes. Express function in an alternative form.

Important Questions on Algebra

MEDIUM

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 1 - Algebra>EXERCISE 1B>Q 1

Sketch the graphs of function

y = |5 - \frac{1}{2} x|

showing the coordinates of the points where the graph meets the axes. Express function in an alternative form.

EASY

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 1 - Algebra>EXERCISE 1B>Q 2

Complete the table of values for $y = | x - 3 | + 2 .$

$x$	$0$	$1$	$2$	$3$	$4$	$5$	$6$
$y$	$5$		$3$

MEDIUM

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 1 - Algebra>EXERCISE 1B>Q 2

Draw the graph of

y = | x - 3 | + 2

for

0 ⩽ x ⩽ 6 .

MEDIUM

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 1 - Algebra>EXERCISE 1B>Q 2

Describe the transformation that maps the graph of

y = | x |

onto the graph of

y = | x - 3 | + 2 .

MEDIUM

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 1 - Algebra>EXERCISE 1B>Q 3

Describe fully the transformation (or combination of transformations) that maps the graph of

y = | x |

onto each of these functions.

y = | x + 1 | + 2

MEDIUM

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 1 - Algebra>EXERCISE 1B>Q 3

Describe fully the transformation (or combination of transformations) that maps the graph of

y = | x |

onto each of these functions.

y = | x - 5 | - 2

MEDIUM

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 1 - Algebra>EXERCISE 1B>Q 3

Describe fully the transformation (or combination of transformations) that maps the graph of

y = | x |

onto each of these functions.

y = 2 - | x |

MEDIUM

AS and A Level

IMPORTANT

Cambridge International AS & A Level Mathematics : Pure Mathematics 2 & 3 Course Book>Chapter 1 - Algebra>EXERCISE 1B>Q 3

Describe fully the transformation (or combination of transformations) that maps the graph of

y = | x |

onto each of these functions.

y = | 2 x | - 3