3.) Write the equation of a quadratic function that is shifted down 4 and horizontally compressed by 1/5

Step-by-step explanation:

For shifted down a function you have to follow the next structured:

In our case is:

Now for compressed or shrink a graph you have to multiply by a factor in the input something like this:

In our case is:

Maybe you can think, why 5 and not instead?. Well, when you multiply by this dilate or stretch the graft because the output of each value is smaller, example:

Then evaluate for a number, for example 5:

the output of is 5 steps a far from the answer of this in a graph is illustrate as a stretching.

So the opposite happen when you multiply by a integer number, the graph is compressed because the output take the "faster steps".

So combine the two transformation and get

33

step-by-step explanation: g=6

77

step-by-step explanation: