Without graphing, what are the vertex , axis of symmetry, and transformations of the parent function? Y - |8x-3| - 3

Given:

Consider the given function is

To find:

The vertex , axis of symmetry, and transformations of the parent function?

Solution:

We have,

     ...(i)

It is an absolute function.

The vertex form of an absolute function is

      ...(ii)

where, a is a constant, (h,k) is vertex and x=h is axis of symmetry.

From (i) and (ii), we get

So,

Parent function of an absolute function is

Since, a=8 therefore, parent function vertically stretched by factor 8.

, so the function shifts unit right.

k=-3<0, so the function shifts 3 units down.

Therefore, the vertex is and Axis of symmetry is . The parent function vertically stretched by factor 8, shifts unit right and  3 units down.

step-by-step explanation:

answer: 5100 just subtract

step-by-step explanation: