Determine the equation of the function that results from transformations applied to the graph of a given function. Use parent function: f(x)=1/x

Question

1. Stretch vertically by a factor of 2
2. Reflect across the x-axis
3. Shift downward 3 units

tysm~ please answer fast

Answer 1

So here are all the different types of transformations

1. Vertical shift up- add a number to the end of the problem will shift it up that many spaces
2. Vertical shift down- subtracting a number to the end of the problem will shift it down that many spaces
3. Horizontal shift right- subtracting a number within ( ) will shift the problem right
4. Horizontal shift left- adding a number within ( ) will shift the problem left
5. Reflection- putting a negative the beginning of the problem will reflect the problem
6. Stretch- putting a whole number in front of the problem will stretch it
7. Shrink-putting a fraction in front of the problem will shrink it

So to answer your questions we will need to put a 2 in front of the problem to stretch it

y=2(1/x)

We will need to add a negative in front to reflect it

y=-2(1/x)

We will need to put a -3 at the end of the problem to shift it down 3

y=-2(1/x)-3