Write a function based on the given parent function and the...

Write a function based on the given parent function and the transformations in the given order. Parent function y = |x| 1. Shift 4.5 units to the right. 2. Shrink horizontally by a factor of 1/5. 3. Reflect across the y-axis.

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00:01 So recall that when we have function transformations, there's two different types of transformations i can have.

00:06 First, i can have transformations that are outside the function, such as f -of -x, maybe i'm adding two outside the function, or i could have functions that are inside the function.

00:17 Maybe i'm adding two inside the function.

00:20 Okay.

00:20 If it's outside, i'm affecting my y -values or my y -axis.

00:24 Think about my y -axis and moving up or down or vertically stretching and shrinking.

00:28 And this will be the same operation as what is given.

00:32 So if i'm adding two outside, that means i'm going to move up to units.

00:37 I wouldn't adjust that at all.

00:39 Whereas if i'm inside the function, i'm affecting the x values.

00:43 Think about the x axis, moving left to right, or moving horizontally.

00:47 And this would be the opposite operation as what i would use.

00:52 So plus two inside, so that means i'm probably moving right to.

00:56 What's the opposite of right? left.