Answer:
The function f stretched vertically by a factor of 3 and translated up by 2 units.
g(x)=21x+17
The function f translated 2 units down and 3 units right.
g(x)=7x-18
The function f reflected about the y-axis and translated 3 units left.
g(x)=-7x-16
The function f stretched vertically by a factor of 2 and translated down by 3 units.
g(x)=14x+7
Step-by-step explanation:
Functions can be moved and re-sized by changing the parameters of the function.
A function is shifted up or down when a constant is added outside the function. If the constant is positive the function is shifted up. If the constant is negative, the function is shifted down.
A function is shifted left or right when a constant is subtracted from the x-value inside the function. If the constant is positive, the function is shifted to the right. If the constant is negative, the function is shifted to the left.
A function is vertically stretched or compressed when it is multiplied by a constant. If the constant is greater than one, it results in a vertical stretch. If the constant is in between zero and one, it results in a vertical compression.
A function is reflected about the y-axis when the x-value is multiplied by a negative constant.