1.)Given:g(x) = x² 6Parent function:f(x) = x²This is a vertical shift up 6.Answer:𝑔(𝑥)=𝑓(𝑥) 6g(x)=f(x) 62.)Given:g(x) = x² – 3Parent function:f(x) = x²This is a vertical shift down 3.Answer:𝑔(𝑥)=𝑓(𝑥)−3g(x)=f(x)−33.)Given:g(x) = - (x - 2)^3a.) Identify the parent functionParent function is the cubic function:𝑓(𝑥)=𝑥3f(x)=x3b.) Write g in terms of fSteps shown in notation:Horizontal shift right 2 → 𝑓(𝑥−2)f(x−2)Reflection across x-axis → −𝑓(𝑥−2)−f(x−2)Answer:𝑔(𝑥)=− 𝑓(𝑥−2)g(x)=−f(x−2)4.)Given:g(x) = |x - 1| 5a.) Identify the parent function𝑓(𝑥)=∣𝑥∣f(x)=∣x∣b.) Write g in terms of fHorizontal shift right 1 → 𝑓(𝑥−1)f(x−1)Vertical shift up 5 → 𝑓(𝑥−1) 5f(x−1) 5Answer:𝑔(𝑥)=𝑓(𝑥−1) 5g(x)=f(x−1) 55.)Given:g(x) = 2\sqrt{x}a.) Identify the parent function𝑓(𝑥)=𝑥f(x)=xb.) Write g in terms of fVertical stretch by factor of 2 → 2𝑓(𝑥)2f(x)Answer:𝑔(𝑥)=2𝑓(𝑥)g(x)=2f(x)