By applying the wanted transformations, we will get the functions:
3) g(x) = 3x
4) g(x) = 5x
<h3>
How to write vertical stretch and compression?</h3>
For a given f(x), we define a vertical stretch of scale factor k as:
g(x) = k*f(x)
While a vertical compression of scale factor k is written as:
g(x) = f(x)/k.
Here our function is y = f(x) = x
3) First, we want to apply a vertical stretch of scale factor of 3, so we will get:
g(x) = 3*f(x) = 3*x
4) Now we want to apply a vertical compression of scale factor of 1/5, then the function will be:
g(x) = 5*f(x) = 5x
If you want to learn more about transformations:
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that's the answers, from top to bottom. hope this helps!
Reminder: y = mx + b, to isolate y, you would need to subtract mx value, and what you do to one side, you do to all. If there’s a coefficient in front of your y value, you then divide the equation by that coefficient. Once y is isolated, m and b values are easier to find.
Answer:
1) y = -2x + 1 // m = -2, b = 1
2) y = 5/8x - 1 // m = 5/8, b = -1
3) y = 7/8x - 3/4 // m = 7/8, b = -3/4
4) y = 3/4x + 4 // m = 3/4, b = 4
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