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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

Respuesta :

Answer:

1. [tex]y=(x + 2)^{2}[/tex] is the equation reflected across the x-axis.

2. [tex]y=(x - 2)^{2}[/tex] is the equation reflected across the x-axis and the y-axis.

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

4. [tex]y = -x^{2}[/tex] is the equation translated right by 2 units.

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

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

Step-by-step explanation:

The original equation is [tex]y=-(x + 2)^{2}[/tex]

Therefore,

1. [tex]y=(x + 2)^{2}[/tex] is the equation reflected across the x-axis.

2. [tex]y=(x - 2)^{2}[/tex] is the equation reflected across the x-axis and the y-axis.

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

4. [tex]y = -x^{2}[/tex] is the equation translated right by 2 units.

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

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

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