Question

Match each function formula with the corresponding transformation of the parent function y = - (x + 2)2.

Answer 1

Answer:

1. $y=(x + 2)^{2}$ is the equation reflected across the x-axis.

2. $y=(x - 2)^{2}$ is the equation reflected across the x-axis and the y-axis.

3. $y=-(x + 4)^{2}$ is the equation translated left by 2 units.

4. $y = -x^{2}$ is the equation translated right by 2 units.

5. $y=2-(x + 2)^{2}$ is the equation translated up by 2 units

6. $y= -(x + 2)^{2} -2$ is the equation translated down by 2 units.

Step-by-step explanation:

The original equation is $y=-(x + 2)^{2}$

Therefore,

1. $y=(x + 2)^{2}$ is the equation reflected across the x-axis.

2. $y=(x - 2)^{2}$ is the equation reflected across the x-axis and the y-axis.

3. $y=-(x + 4)^{2}$ is the equation translated left by 2 units.

4. $y = -x^{2}$ is the equation translated right by 2 units.

5. $y=2-(x + 2)^{2}$ is the equation translated up by 2 units

6. $y= -(x + 2)^{2} -2$ is the equation translated down by 2 units. (Answer)