0. Review of College Algebra

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)?

Given the point $A(5,2)$, what are the coordinates of $A\text{'}$ after reflecting across the line $x=3$?

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\(\right\))$.

Graph each function. See Examples 1 and 2. ƒ(x) = ⅔ |x|

Graph each function. See Examples 1 and 2. ƒ(x) = -½ x²

Graph each function. See Examples 1 and 2. h(x) = √4x

Fill in the blank(s) to correctly complete each sentence.

The graph of ƒ(x) = (x + 4)² is obtained by shifting the graph of y = x² to the ___ 4 units.

Graph each function. See Examples 1 and 2. ƒ(x) = -√-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\(\right\))$.

Graph each function. See Examples 1 and 2. g(x) = 2x²