Question Video: Identifying the Image of a Point on a Trigonometric Graph following a Transformation | Nagwa Question Video: Identifying the Image of a Point on a Trigonometric Graph following a Transformation | Nagwa

# Question Video: Identifying the Image of a Point on a Trigonometric Graph following a Transformation Mathematics • Second Year of Secondary School

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The figure shows the graph of π(π₯). A transformation maps π(π₯) to π(π₯) β 3. Determine the coordinates of π΄ following this transformation.

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### Video Transcript

The figure shows the graph of π of π₯. A transformation maps π of π₯ to π of π₯ minus three. Determine the coordinates of π΄ following this transformation.

When we look at the transformations of graphs, π, β, and π can transform it in a few ways. π key there vertically stretch or compress it. β would move it horizontally left and right. And then π moves it vertically up and down.

So since minus three is not on the inside of a parenthesis, that means the minus three must be a π. So since weβre subtracting three, so we will be moving down three. So π΄ is at 45, one. So if we need to go down three, here weβll be going down one unit, now weβre at minus two units. And now weβve subtracted three units. Weβve moved down three. So we are still at 45 for π₯. However, we are at negative two for π¦.

So after the transformation, the coordinates of π΄ would be 45, negative two.

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