Warning: Illegal string offset 'html' in /home/hsn/public_html/forum/cache/skin_cache/cacheid_1/skin_topic.php on line 909

Warning: Cannot modify header information - headers already sent by (output started at /home/hsn/public_html/forum/cache/skin_cache/cacheid_1/skin_topic.php:909) in /home/hsn/public_html/forum/admin/sources/classes/output/formats/html/htmlOutput.php on line 114

Warning: Cannot modify header information - headers already sent by (output started at /home/hsn/public_html/forum/cache/skin_cache/cacheid_1/skin_topic.php:909) in /home/hsn/public_html/forum/admin/sources/classes/output/formats/html/htmlOutput.php on line 127

Warning: Cannot modify header information - headers already sent by (output started at /home/hsn/public_html/forum/cache/skin_cache/cacheid_1/skin_topic.php:909) in /home/hsn/public_html/forum/admin/sources/classes/output/formats/html/htmlOutput.php on line 136

Warning: Cannot modify header information - headers already sent by (output started at /home/hsn/public_html/forum/cache/skin_cache/cacheid_1/skin_topic.php:909) in /home/hsn/public_html/forum/admin/sources/classes/output/formats/html/htmlOutput.php on line 137

Warning: Cannot modify header information - headers already sent by (output started at /home/hsn/public_html/forum/cache/skin_cache/cacheid_1/skin_topic.php:909) in /home/hsn/public_html/forum/admin/sources/classes/output/formats/html/htmlOutput.php on line 141
Past paper 2003 Paper 2 q11a (i) n (ii) - HSN forum

Jump to content


Past paper 2003 Paper 2 q11a (i) n (ii)


2 replies to this topic

#1 voodoo

    Newbie

  • Members
  • Pip
  • 5 posts
  • Gender:Male

Posted 16 May 2006 - 10:14 PM

Can someone help me with these question. i can;t find any notes for it.

11 (a) (i) Sketch the graph of y=a(^x) + 1, a>2

(ii) on the same diagram, sketch the graph of y = a(^x+1) , a > 2

#2 Steve

    Top of the Class

  • Admin
  • PipPipPipPipPip
  • 435 posts
  • Location:Edinburgh
  • Gender:Male

Posted 17 May 2006 - 08:28 AM

These are just graph transformations.

For part (i), I think the easiest way to see this is to think of the "normal" exponential graph y=a^x. Then the extra "+1", will just increase each y-coordinate by one (i.e. shift the graph up one unit).

For (ii), if you say f(x)=a^x, then a^{x+1}=f(x+1), and this has the effect of shifting the graph one place to the left.
HSN contribute: Help the site grow!

Looking for a Maths tutor in West Lothian? Just PM me!

#3 voodoo

    Newbie

  • Members
  • Pip
  • 5 posts
  • Gender:Male

Posted 17 May 2006 - 10:15 AM

QUOTE(Steve @ May 17 2006, 09:28 AM) View Post

These are just graph transformations.

For part (i), I think the easiest way to see this is to think of the "normal" exponential graph y=a^x. Then the extra "+1", will just increase each y-coordinate by one (i.e. shift the graph up one unit).

For (ii), if you say f(x)=a^x, then a^{x+1}=f(x+1), and this has the effect of shifting the graph one place to the left.



thanks mate, it makes more sense now.





1 user(s) are reading this topic

0 members, 1 guests, 0 anonymous users