Answered

Discover new information and insights with the help of IDNLearn.com. Discover detailed answers to your questions with our extensive database of expert knowledge.

Without graphing, identify the vertex, axis of symmetry, and transformations from the parent function f(x)= |x|y = |x-5|-1

Sagot :

Answer:

• Vertex: (5, –1)

,

• No symmetry

,

• Transformations: 5 units to the right, and 1 unit down.

Explanation

We are given the parent function f(x)= |x| and the transformed function:

[tex]y=|x-5|-1[/tex]

Thus, we can get the vertex considering that a function in the form:

[tex]y=|x\pm a|\pm b[/tex]

has a vertex at (+a, ±b).

Therefore, our vertex is at (5, –1). Additionally, as an absolute function has the form of a 'v', and as the vertex is at (5, –1) then it has no symmetry about the x-axis, nor y-axis, and nor about the origin, meaning it has no symmetry.

Finally, the transformation from the parent function is a shift 5 units to the right and one unit down.

Your engagement is important to us. Keep sharing your knowledge and experiences. Let's create a learning environment that is both enjoyable and beneficial. Your questions deserve accurate answers. Thank you for visiting IDNLearn.com, and see you again for more solutions.