Question

let g(x) be a vertical shift of f(x)=-x up 4 units followed by a vertical stretch by a factor of 3. Write the rule for g(x).

Answer 1

A function assigns the values. The function g(x) can be written as g(x) = -3x + 12.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

Given the function f(x)=-x, now since a transformed function g(x) is produced by shifting the function 4 units upwards and vertical stretch by a factor of 3. Therefore, g(x) can be written as,

Vertical Shift by 4 units,

f(x)+4

Vertical stretch by a factor of 3

g(x) = 3(f(x) + 4)

g(x) = -3x + 12

Hence, the function g(x) can be written as g(x) = -3x + 12.

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