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 vertex form of a quadratic function?
What is the vertex form of a quadratic function?
- y = a(x - h)(x - k)
- y = a(x - h)^2 + k (correct)
- y = ax^2 + bx + c
- y = a(x + h)^2 + k
What does 'h' represent in the vertex form of a quadratic function?
What does 'h' represent in the vertex form of a quadratic function?
- Horizontal shift of the parabola (correct)
- Coefficient of the quadratic term
- Vertical shift of the parabola
- Constant term in the function
In the vertex form of a quadratic function, what does 'a' determine?
In the vertex form of a quadratic function, what does 'a' determine?
- Horizontal shift of the parabola
- Direction and width of the parabola (correct)
- Vertex of the parabola
- Vertical shift of the parabola
In the standard form of a hyperbola, which variable is squared?
In the standard form of a hyperbola, which variable is squared?
Signup and view all the answers
What does the coefficient of the squared term in the standard form of a hyperbola determine?
What does the coefficient of the squared term in the standard form of a hyperbola determine?
Signup and view all the answers
In the standard form of a hyperbola, what does the difference between the squared terms determine?
In the standard form of a hyperbola, what does the difference between the squared terms determine?
Signup and view all the answers
Flashcards are hidden until you start studying
Study Notes
Quadratic Functions
- The vertex form of a quadratic function is a way to express the function in terms of its vertex (minimum or maximum point).
Vertex Form Variables
- In the vertex form, 'h' represents the x-coordinate of the vertex.
- 'a' determines whether the parabola opens upward (a > 0) or downward (a < 0), and its magnitude affects the steepness of the curve.
Hyperbolas
- In the standard form of a hyperbola, the y variable is squared.
Hyperbola Coefficients
- The coefficient of the squared term in the standard form of a hyperbola determines the shape of the hyperbola.
- The difference between the squared terms determines the center of the hyperbola.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
