Math please help

Question

The parent function f(x)=x2 is reflected across the x-axis, vertically stretched by a factor of 3 and translated 2 units down to create function g.

 

The parent function f(x)=x is translated 2 units left and 3 units up to create function g.

 

Answer 1

Reflect y = x² across the x-axis to get y = -x².

 

Vertically stretch y = -x² by a factor of 3 to get y = -3x².

 

Translate y = -3x² two units down to get g(x) = -3x² - 2.  

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For the second problem, replace x by x+2, and then add 3

 

   g(x)  = (x+2) + 3      So, g(x) = x + 5.