Which of the following describes the transformations of mc020-1.jpg from the parent function mc020-2.jpg? shift 4 units left, reflect over the x-axis, shift 2 units down shift 4 units left, reflect over the y-axis, shift 2 units down shift 4 units right, reflect over the x-axis, shift 2 units down shift 4 units right, reflect over the y-axis, shift 2 units down

The complete question is "which of the following describes the transformations of from the parent function f(x) = 2ˣ ? "the correct answer is a) shift 4 units left, reflect over the x-axis, shift 2 units down.explanation: 1) starting from the parent function  f(x) = 2ˣ, the first transformation is: f₁(x) =  2ˣ⁺⁴this is a transformation of the kind y = bˣ⁺ᵃ, which is a shift in the horizontal direction of a units, towards the right if a < 0 or towards the left if a > 0.since in our case a = +4, it will be a shift to the left of 4 units.2) the second transformation isf₂(x) = - f₁(x)this transformation is defined as a reflexion over the x-axis and gives, as a result, a function symmetrical to the starting function.3) the third transformation isg(x) = f₂(x) - 2this is a transformation of the kind y = bˣ + c, which is a shift in the vertical direction of c units, up if c > 0, down if c < 0.in our case c = -2, therefore it is a shift 2 units down.hence, the transformations that take f(x) = 2ˣ to be  are a shift 4 units left, a reflection over the x-axisand a shift 2 units down.