Given verbal, graphical, or symbolic descriptions of the graph of y = ax2 + c, the student will investigate, describe, and predict the effects on the graph when "a" is changed.
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)(C) determine the effects on the graph of the parent function f(x) = x2 when f(x) is replaced by af(x), f(x) + d, f(x – c), f(bx) for specific values of a, b, c, and d
Determine the effect of changing the "a" value on the graph of y = ax2 + c
How is the parabola affected if "a" has a value greater than 1 in the equation y = ax2?
How is the parabola affected if "a" has a value between 0 and 1 in the equation y = ax2 + c?
How is the parabola affected if "a" has a value less than 1 in the equation y = ax2 + c?