Question

The black graph is the graph ofy =f(x). Choose the equation for thered graph.a.y = f(2x)b. y=f(i)C.2y = f (x)d. ½ = f(x)

Answer 1

Answer:

B. y=f(x/2)

Explanation:

In the graph, the vertex of the black graph, the graph of y =f(x) is:

$(2,2)$

The vertex of the red graph is at:

$(4,2)$

From the given options:

$\begin{gathered} Black:f(2)=2 \\ Red:f(\frac{4}{2})=f(2)=2 \end{gathered}$

The equation of the red graph is:

$y=f(\frac{x}{2})$

Option B is correct.