Question

HELp!!! 100 POINTS.

What is the formula of g in terms of f?

Answer 1

Answer: C

Step-by-step explanation: bcuz

Answer 2

`\textsf{A)} \quad f\left(-(1)/(2)x\right)`

Explanation:

From observation of the given graph, function f has been reflected across the y-axis.

When a graph is reflected across the y-axis, the y-coordinate stays the same while the x-coordinate is negated.

Therefore, replace y = f(x) with y = f(-x), so:

`\implies g(x) = f(-x)`

It appears that the graph has also been stretched parallel to the x-axis.

When a graph is stretched parallel to the x-axis the x is multiplied by a constant. If the constant is greater than 1, the graph is compressed. If the constant is greater than zero and less than 1, the graph is stretched.

As the graph has been stretched, the constant is 0 < c < 1, so:

`\implies g(x)=f\left(-(1)/(2)x\right)`