5. Vertical stretch is 5f(x)=g(x)=20x²+15.
6. Vertical translation is g(x)=f(x)+3=2x²+4.
7. Horizontal translation:
g(x)=f(x+7)=2(x+7)²-3=2(x²+14x+49)-3=2x²+28x+95 because the vertex moves from (0,-3) to (-7,-3), which is 7 units to the left.
hope it helps
~Reema