<p>The diagrams below show the graphs of $y=\left| \mathrm{f}\left( x \right) \right|$ and $y=\mathrm{f}\,\mathrm{ }\!\!'\!\!\mathrm{ }\left( x \right)$.</p>
<figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/converted/1760687277269-z04p1kuzfq.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvY29udmVydGVkLzE3NjA2ODcyNzcyNjktejA0cDFrdXpmcS5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkzNTQzNTk0LCJleHAiOjE3OTM1NDM4OTR9.mEZ5cvcLSyuJ5_MtW780GJmv2CeQ6s65rylM8isPNa0" width="400" class="aligncenter" /></figure>
<p>On separate diagrams, sketch the graphs of:</p>
<ol class="i-list"><li><div class="list-item-paragraph">$y=\left| \mathrm{f}\left( 2x \right) \right|+1$</div><p style="text-align: right;">[2]</p></li><li><div class="list-item-paragraph">$y=\frac{1}{\mathrm{f}\,\mathrm{ }\!\!'\!\!\mathrm{ }\left( x \right)}$</div><p style="text-align: right;">[3]</p></li><li><div class="list-item-paragraph">$y=\mathrm{f}\left( x \right)$</div><p style="text-align: right;">[3]</p></li></ol>
<p>showing clearly, in each case, the intersection(s) with the axes, the coordinates of the turning point(s) and the equation(s) of the asymptotes.</p>

The diagrams below show the graphs of $y=\left| \mathrm{f}\left( x \right) \right|$ and $y=\mathrm{f}\,\mathrm{ }\!\!'\!\!\mathrm{ }\left( x \right)$.

On separate diagrams, sketch the graphs of:

$y=\left| \mathrm{f}\left( 2x \right) \right|+1$

$y=\frac{1}{\mathrm{f}\,\mathrm{ }\!\!'\!\!\mathrm{ }\left( x \right)}$

showing clearly, in each case, the intersection(s) with the axes, the coordinates of the turning point(s) and the equation(s) of the asymptotes.

2018 EJC P2 Q2

2018 EJC P2 Q2

Video Solution:

Solution:

Solution locked