C1 (AS LEVEL/SOLOMON PAPER) Graph question Watch

Blackfyre
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Greetings,

I am revising for my maths exam at the moment and I struggle with what seems a simple graph question. The problem is that I don't understand why the graph consists of some connected straight lines and how to complete what is asked from me. I uploaded 2 pictures of the question, thanks indeed for help.
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Tynos
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Basically for part a) you need to draw y=1 with the graph and y=-x with the graph.
The number of solutions will be the number of intersection with the graph.

For part b) you will need to apply transformations to the graph separately.
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Blackfyre
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(Original post by Tynos)
Basically for part a) you need to draw y=1 with the graph and y=-x with the graph.
The number of solutions will be the number of intersection with the graph.

For part b) you will need to apply transformations to the graph separately.
y=1 intersects with the graph only once, however, in marking guide it is said that there are 3 solutions.

For part b what do you mean by transformation to the graph separately? I don't remember ever sketching something like this at lessons.
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HiImArt
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Y=1 intersects three times, its a horizontal line at 1

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Blackfyre
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(Original post by HiImArt)
Y=1 intersects three times, its a horizontal line at 1

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How does it intersect three times if it only crosses the y-axis once at 1? Sorry if my question seems stupid but I really have no clue and I want to fix that before exams.

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Tynos
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(Original post by Blackfyre)
y=1 intersects with the graph only once, however, in marking guide it is said that there are 3 solutions.

For part b what do you mean by transformation to the graph separately? I don't remember ever sketching something like this at lessons.
Ok go to 1 on the y axis, draw a straight line through it and see how many intersections you get.

You will have to learn the transformations, eg. inside the bracket affects the x axis outside the bracket affects the y axis.

Therefore y=f(x-2) Is a translation of 2 units in the positive direction.

y=f(2x) Is a Squash in the x axis of scale factor 1/2
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