Question

What is the absolute value transformation of this function?

Answer 1

Answer:

k(x) = -|x + 2| + 3

Step-by-step explanation:

Parent function of the absolute function given in the graph,

f(x) = |x|

1). Function 'g' is reflected across the x-axis, then the image will be,

  h(x) = -f(x) = -|x|

2). Function 'h' the shifted 2 units left and 3 units upwards, image function will be,

  k(x) = h(x + 2) + 3

  k(x) = -|x + 2| + 3

Therefore, the transformed function is k(x) = -|x + 2| + 3.