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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.

User Dilan
by
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1 Answer

1 vote

Answer:

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.

Write a function, ???? ,in terms of another function, ????, such that the graph of-example-1
User Ashraf Slamang
by
7.5k points