Question

I'm unsure how to approach solving this, and plotting the graph appropriately.

Answer 1

Recall that:

1.- A translation in the y-axis, h units of a function g(x) has the form:

`g(x)+h\text{.}`

2.- A translation in the x-axis has the form:

`g(x+h)\text{.}`

3.- A dilation of g(x) in the x-axis by a a factor has the form:

`g(ax)\text{.}`

Notice that:

`f(x)=x^2`

Therefore, the given function is f(x) dilated in the x-axis by a factor of 1/3,

translated in the x-axis 1 unit to the right and in the y-axis 4 units down.