2.5 Question 61

[Eigenvalue]

Precalculus
Michael Sullivan
Edition 4
Chapter 2, Section 2.5

Graph the function using the techniques of shifting, compressing, stretching, and/or reflecting.Start with the graph of the parent function (e.g. y=x²) and show all stages. Be sure to show at least 3 key points. Find the domain and range of the function.

h(x)=[tex]\sqrt{-x}[/tex]-2

[nycmath]

Part A

[nycmath]

Part B

y = [tex]\sqrt{-x}[/tex]

[nycmath]

Part C

Key points:

(0, -2)

(-4, 0)

(-5.4, 0.32379)

Domain = (-infinity, 0]

Range = [-2, infinity)