$\"\"$

(a)

The parent function is $\"\"$ .

Graph the parent function $\"\"$ .

Graph is : \ \

$\"$

Let $\"\"$ be the transformation function.

Observe the two graphs of f and g : \ \

The graph of g is a vertical stretch (each y - value is multiplied by 9) followed by a downward shift of two units of the graph of $\"\"$ .

So, the equation for the graph is $\"\"$ . $\"\"$

(b)

The parent function is $\"\"$ .

Graph the parent function $\"\"$ .

Graph is :

$\"$

Let $\"\"$ be the transformation function.

Observe the two graphs of f and g :

The graph of g is a reflection in the x - axis followed by a vertical shrink (each y - value is multiplied by $\"1$ ) of the graph of $\"\"$ .

So, the equation for the graph is $\"\"$ . $\"\"$

(a) The equation for given graph of function $\"\"$ .

(b) The equation for given graph of function $\"\"$ .