Let's investigate real-world applications of graphs of quadratic functions. You will analyze graphs of quadratic functions and interpret those graphs within the context of the situation.
TEKS Standards and Student Expectations
A(7) Quadratic functions and equations. The student applies the mathematical process standards when using graphs of quadratic functions and their related transformations to represent in multiple ways and determine, with and without technology, the solutions to equations. The student is expected to:
A(7)(A) graph quadratic functions on the coordinate plane and use the graph to identify key attributes, if possible, including x-intercept, y-intercept, zeros, maximum value, minimum values, vertex, and the equation of the axis of symmetry
Resource Objective(s)
Given the graph of a situation represented by a quadratic function, the student will analyze the graph and draw conclusions.
Essential Questions
What does the vertex of the graph represent?
How can you tell by looking at the graph if the "a" value is positive or negative?
Vocabulary
- Quadratic Equation
- Parabola
- Constant
- Coefficient
- y-intercept
- x-intercept
- Vertex
- Line of Symmetry