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# C1 (AS LEVEL/SOLOMON PAPER) Graph question watch

1. 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.
Attached Images

2. 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.
3. (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.
4. Y=1 intersects three times, its a horizontal line at 1

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5. (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.

6. (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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Updated: March 26, 2013
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