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.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2

false

step-by-step explanation:

the reason i say this is because for a certain length of sides you can pick any two and the length is wither equal or greater than the third side and in this case it's not.

3 + 5 = 8

8 is smaller than 9 which is the third side.

hope this : )