Question

HELP PLEASE!!!Describe the change in the graph of the parabola f(x) when it transforms into g(x) =1/2f(x)

Answer 1

Answer:

D

Step-by-step explanation:

These are transformations. One thing to remember is that only a sign change (like a negative sign on the new function) will change the direction in which the parabola opens.

Here, going from f(x) to 1/2 * f(x) has no sign change, so the parabola will open in the same direction as before. Eliminate A and C.

Vertical transformations are those that are done to the entire function, as opposed to horizontal transformations which are done only on the x. Here, since we're multiplying 1/2 to f(x), we have a vertical transformation.

There are different transformations. The one here would be a vertical shrink by a factor of 1/2. Vertically shrinking a function is basically the same as compressing it, which would make it wider.

The answer is thus D.

Answer 2

Answer:

Last one:

The parabola g(x) will open in the same direction of f(x), and the parabola will be wider than f(x).

Step-by-step explanation:

g(x) = ½f(x)

g(x) is obtained by a vertical stretch of f(x) by factor ½ (compression)

g(x) would look like f(x), would just be wider