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)

Question

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)

Answer 1

### 1. Reflection over the x-axis### 2. Vertical stretch by a factor of 4### 3. Horizontal stretch by a factor of 5 and reflection over the y-axis### 4. Horizontal translation 6 units right### 5. Vertical translation 7 units up

Answer 2

## Step 1: Reflection over the x-axis### The negative sign in front of the

reflects the graph over the x-axis.## Step 2: Vertical Stretch### The

multiplying the function results in a vertical stretch by a factor of

.## Step 3: Horizontal Stretch### The

multiplying the

results in a horizontal stretch by a factor of

and a reflection over the y-axis due to the negative sign.## Step 4: Horizontal Translation### The

inside the function results in a horizontal translation

units to the right.## Step 5: Vertical Translation### The

added to the function results in a vertical translation

units up.

Question

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)

Solution

Answer

Explanation