Question

What transformation was not done to the linear parent function, f(x) = x, toget the function g(x) = -4(x + 2) - 9?A. Shift right 2 unitsB. Reflection over the x-axisC. Shift down 9 unitsD. Vertical stretch by a factor of 4

Answer 1

A. Shift right 2 units

Step-by-step explanation:

If g(x) = f(x) - c, we can say that g(x) is f(x) shifted c units down

if g(x) = f(x + c), then g(x) is shifted c units to the left

if g(x) = cf(x), we can say that g(x) is a vertival stretch by a factor of 4

if g(x) = -f(x), then g(x) is a reflection over the x-axis of function f(x)

Therefore, g(x) = -4(x + 2) - 9 is a f(x) shifted 2 units to the left and 9 units down. It is also a reflection over the x-axis and a vertical strecth by a factor of 4 of function f(x).

So, the answer is:

A. Shift right 2 units