Question

Write a function, ???? ,in terms of another function, ????, such that the graph of ???? is a vertical shrink of the graph ???? by a

factor of 0.75.

Answer 1

See explanation below.

Explanation:

Let's assume that we have an original function
`f(x)` and let's suppose that we have a constant
`c>0` and if we define this new function:

`h(x) = c f(x)`

We see that if c>1 the dunction would be vertically stretched by c units.

And if
`0<c<1` we see that we will have a vertically shrinking by a factor of c units

So for example we can use the following function:

`f(x) = x^2`

For this case our constant is c=0.75 and we can define the new function like this:

`h(x) = 0.75x^2`

We will see if we plot the two figures that we have a vertical shrinking of 0.75 units.