Question

I inserted a picture of a question please state whether the answer is a b c or dI’ll insert a picture of question c and d

Answer 1

The given function is:

$f(x)=x^2$

It is required to find the graph of g(x)=1/3 f(x).

Recall that the graph of a function g(x)=a f(x) is derived as a result of vertically shrinking the graph of f(x) towards the x-axis, where 0

Notice that in this case, a=1/3, which falls in the given interval for a vertical shrink.

Start with the graph of f(x)=x², which is the parent function for a quadratic function (graph in red):

Next, vertically shrink this graph towards the x-axis by a factor of 1/3 to graph, g(x)=1/3 f(x) in blue:

Notice that the graph that matches this from the options is the graph in option D.

The correct answer is option D.