Question

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

1. y = ( x + 2) 2
Reflected across the x-axis
2. y = ( x - 2) 2
Translated right by 2 units
3. y = - ( x + 4) 2
Translated down by 2 units
4. y = - x2
Translated left by 2 units
5. y = 2 - ( x + 2) 2
Reflected across the x-axis and the y-axis
6. y = - ( x + 2) 2 - 2
Translated up by 2 units

Answer 1

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.

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)