16. List the transformations that apply to the function y=-4f[-(1)/(5)(x-6)]+7 Be sure to list them in the correct order and using proper mathematical terminology. (3 marks)

## Step 1: Reflection over the x-axis<br />### The negative sign in front of the $4$ reflects the graph over the x-axis.<br /><br />## Step 2: Vertical Stretch<br />### The $4$ multiplying the function results in a vertical stretch by a factor of $4$.<br /><br />## Step 3: Horizontal Stretch<br />### The $-\frac{1}{5}$ multiplying the $x$ results in a horizontal stretch by a factor of $|-5|=5$ and a reflection over the y-axis due to the negative sign.<br /><br />## Step 4: Horizontal Translation<br />### The $-6$ inside the function results in a horizontal translation $6$ units to the right.<br /><br />## Step 5: Vertical Translation<br />### The $+7$ added to the function results in a vertical translation $7$ units up.