2. Graphs & Functions

Reflections of Functions Practice 1

Written below (green dotted curve) is a graph of the function $f\(\left\)(x\(\right\))=\(\sqrt{x-2}\)$. If g(x) (blue solid curve) is a reflection of f(x) about the y-axis what is the equation for g(x)?

The green dotted line in the graph below represents the function $f\left(x\right)$. The blue solid line represents the function $g\(\left\)(x\(\right\))$, which is the function $f\left(x\right)$ after it has gone through a shift transformation. Find the equation for $g\(\left\)(x\(\right\))$.

Graphs Of Shifted And Reflected Functions Practice 4

Stretches & Shrinks of Functions Practice 5

The green dotted curve below is a graph of the function $f\left(x\right)$. Find the domain and range of $g\(\left\)(x\(\right\))$ (the blue solid curve), which is a transformation of

$f\left(x\right)$.