Question

1

Answer 1

Start with f(x) = x^2

Answer 2

Then shift 4 units to the left. What happens to x^2 ?

Answer 3

if you replace x with x+4, you'll shift x^2 4 units to the left

Answer 4

then stretch the graph by a factor of 3 to get 3(x+4)^2

the last step is to shift the whole thing up 5 units

Answer 5

So here's a summary of what happened

Step 1) Start with f(x) = x^2

Step 2) Shift 4 units to the left x^2 -----> (x+4)^2

Step 3) Stretch the graph by a factor of 3 (x+4)^2 -----> 3(x+4)^2

Step 4) Shift graph up 5 units 3(x+4)^2 -----> 3(x+4)^2+5


So \[\Large g(x) = 3(x+4)^2+5\]

Answer 6

What do you mean 'solve'?

Answer 7

it's ok, it's probably all new to you, just keep at it and you'll get it