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PLEASE HELP Match each function formula with the corresponding transformation of the parent function y = - (x + 2)2. 1. y = - (x + 4)2 Reflected across the x-axis and the y-axis 2. y = - (x + 2)2 - 2 Translated right by 2 units 3. y = (x - 2)2 Translated left by 2 units 4. y = 2 - (x + 2)2 Translated down by 2 units 5. y = -x2 Translated up by 2 units 6. y = (x + 2)2 Reflected across the x-axis

Respuesta :

Gasaqui

So we are given the following function: [tex]y=-(x + 2)^{2}[/tex].

Before we can solve this problem, we need to know the following:

  • Given g (x) = f (x) + k;  The graph of g(x) equals f(x) shifted k units vertically. If k > 0, the base graph shifts k units upward, and  if k < 0, the base graph shifts k units downward.

  • Given g(x) = f (x - k); The graph of g(x) equals f(x) shifted k units horizontally.   If k > 0, the base graph shifts k units to the right, and  if k < 0, the base graph shifts k units to the left.

  • The reflection of the point (x,y) across  the x-axis is the point (x,-y).

  • The reflection of the point (x,y) across  the y-axis is the point (-x,y).

Know we can solve the problem!

1. [tex]y=-(x + 4)^{2}[/tex]. Translated left by 2 units.

2. [tex]y=-(x + 2)^{2} - 2 [/tex] Translated down by 2 units

3. [tex]y=(x - 2)^{2}[/tex] Reflected across the x-axis and the y-axis

4. [tex]y= 2-(x + 2)^{2}[/tex] Translated up by 2 units

5. [tex]y=-(x)^{2}[/tex] Translated right by 2 units

6. [tex]y=(x + 2)^{2}[/tex] y = (x + 2)2 Reflected across the x-axis

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