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## Countdown to Exams - Day 82 - Vectors

Today's topic in the countdown to exams is Vectors. Vectors describe a translation (a movement from one place to another) and can be written using vector notation (used to describe a translation). as we get more advanced, the coordinate grid is removed and the notation is given by bold letters (ab, c) To go from one point to another, you will have to travel along vectors that you already know. If you travel with a vector it will be positive, if you travel against a vector, it will be negative.

In more advanced questions midpoints and ratios will be introduced and you may have to factorise your answers to prove that two vectors are parallel or collinear.

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## Countdown to Exams - Day 73 - Translations and reflection of graphs

Today's focus in our countdown to exams is the topic of Translations and reflections of graphs. You will be given a function (graph) and be asked to manipulate the function and sketch a new graph sometimes labelling the key points on the graphs. Starting with translations, when you add to the function f(x)+a or f(x+a), this causes the graph to move up/down or left/right.

f(x)+a is a movement up/down by a units. f(x+a) is a movement left/right by a units (+=left, -=right).

Reflections are caused by making the function negative or the variable negative.

-f(x) is a reflection in the x axis (the outputs are reversed). f(-x) is a reflection in the y axis (the inputs are reversed)

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