Answer:
The transformation was not done is Shifted left 3 units
Step-by-step explanation:
* Lets talk about the transformation
- If the function f(x) reflected across the x-axis, then the new
function g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then the new
function g(x) = f(-x)
- If the function f(x) translated horizontally to the right
by h units, then the new function g(x) = f(x - h)
- If the function f(x) translated horizontally to the left
by h units, then the new function g(x) = f(x + h)
- If the function f(x) translated vertically up
by k units, then the new function g(x) = f(x) + k
- If the function f(x) translated vertically down
by k units, then the new function g(x) = f(x) – k
- A vertical stretching is the stretching of the graph away from
the x-axis
- A vertical compression is the squeezing of the graph toward
the x-axis.
- if k > 1, the graph of y = k•f(x) is the graph of f(x) vertically
stretched by multiplying each of its y-coordinates by k.
- if 0 < k < 1 (a fraction), the graph is f(x) vertically compressed
by multiplying each of its y-coordinates by k.
- if k should be negative, the vertical stretch or compress is
followed by a reflection across the x-axis.
* now lets solve the problem
∵ f(x) = x
∵ g(x) = -1/2 (x - 3) + 7
# -1/2 means the graph is vertically compressed by a factor of 2
and reflected over the x-axis
# x - 3 means the graph shifted to the right 3 units
# + 7 means the graph shifted up 7 units
* The transformation was not done is Shifted left 3 units
