https://tex.z-dn.net/?f=F%28x%29%3D%5Csqrt%7B2x%2B6%7D%20-2%5C%5C is this the question?
Transformed of the function has been given as,
Parent function of this transformed function =
Vertical stretch = By a factor of
Horizontal shift = 3 units to the left
Vertical shift = 3 units up
Now we can summarize these transformations as,
1). Parent function g(x) = has been vertically stretched by a factor of
2). Followed by the translations of 3 units left and 3 units up.
The parental function is and to obtain the equation we must first resize it (multiply x by 2), then move it 6 units to the left (2x + 6) and after all, go 3 units down with the graph
This graph has been transformed by a translation left 6 units, a translation up 2 units, and a stretch by a factor of 2.
Adding a number at the end of a function results in a vertical translation.
Adding a number inside of a function, in this case under the square root, translates the graph horizontally.
Multiplying the variable by a number before another operation results in a stretch or shrink of the graph.
r(0,90)(x,y) . t(-5,0)
∆def to ∆d"e"f"
- rotate 90 counterclockwise degrees
- then translated 5 to the left (x --> x - 5)
answer is the last option