Podcast
Play an AI-generated podcast conversation about this lesson
Download our mobile app to listen on the go
Get App
Questions and Answers
What is the equation of a square root function?
What is the equation of a square root function?
- y = -√-x
- y = -√x
- y = √-x
- y = √x (correct)
Which equation represents a negative square root function?
Which equation represents a negative square root function?
- y = √-x
- y = √x
- y = -√x (correct)
- y = -√-x
What is the equation that involves a negative inside the square root?
What is the equation that involves a negative inside the square root?
- y = -√x
- y = √-x
- y = -√-x (correct)
- y = √x
Which of the following equations does not represent a real number output for all x?
Which of the following equations does not represent a real number output for all x?
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
Graphing Square Root Functions
-
y = √x
- Represents the principal square root function.
- Graph starts at the origin (0,0) and extends to the right in a curve.
- Only for non-negative values of x (x ≥ 0).
-
y = -√x
- Represents the negative square root function.
- Graph starts at the origin (0,0) and extends downward to the right.
- Only applicable for non-negative values of x (x ≥ 0), producing a reflection of y = √x across the x-axis.
-
y = -√-x
- Represents a transformation of the square root function with negative input.
- Graph starts at the x-axis moving leftward (for x ≤ 0).
- Reflects the negative square root function across the y-axis.
-
y = √-x
- Represents the positive square root function with negative input.
- Graph starts moving leftward from the origin (0,0), applicable for non-positive values of x (x ≤ 0).
- Produces a reflection of y = √x across the y-axis.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
