Question

the graph shows the axis of symmetry for a quadratic function f(x). which could be the function? f(x) = (x + 4)² f(x) = x² + 4 f(x) = (x − 4)² f(x) = x² − 4

Explanation:

Step1: Recall axis of symmetry rule

For quadratic $f(x)=(x-h)^2+k$, axis is $x=h$.

Step2: Identify axis from graph

Graph shows axis $x=4$.

Step3: Match to function

Find $h=4$: $f(x)=(x-4)^2$.

Answer:

C. $f(x) = (x - 4)^2$