Question

The graph of g(x) is the graph of f(x) = x2 shifted 4 units left, vertically stretched by a factor of 3, then shifted 5 units up. What is the function rule for g(x)?


Please Show Steps

Answer 1

that is x squared

Answer 2

One at a time...

x^2

Vertical Stretch of 3

3x^2

Shift Up 5

3x^2 + 5

Shift 4 left

You do this one.

Answer 3

memorize your basic functions

Answer 4

I know that it would be:
x^2
(x+4)^2 or would it be -4?

Answer 5

+ 4 would be a negative shift, -4 would be a positive shift