Select ALL the correct answers.Consider the graph of function g below.Determine which sequences of transformations could be applied to the parent function f(x) = x to obtain the graph of g. Need answers please!
Accepted Solution
A:
Answer:Options: 1 and 5 are correct
Step-by-step explanation:From the picture it can be seen that g(x) = -3x - 1Parent function: f(x) = x
1) Reflect over the y-axis gives g(x) = -x
Vertically stretch by a factor of 3 gives g(x) = -3x
Shift down 1 unit gives g(x) = -3x - 1
2) Shift left 2 units: g(x) = x+2Reflect over x-axis: g(x) = -x-2 Vertically stretch by a factor of 3 gives g(x) = -3x
-63) Shift right 1 unit: g(x) = x-1Reflect over the y-axis: g(x) = -x-1 Vertically stretch by a factor of 3: g(x) = -3x
-34) Shift right 1 unit: g(x) = x-1Reflect over the x-axis: g(x) = -x+1Vertically stretch by a factor of 3: g(x) = -3x
+35) Reflect over the x-axis: g(x) = -xVertically stretch by a factor of 3: g(x) = -3xShift down 1 unit: g(x) = -3x - 16) Shift down 1 unit: g(x) = x - 1Reflect over the x-axis: g(x) = -x + 1Vertically stretch by a factor of 3: g(x) = -3x + 3