Texas Gateway: Analyzing the Effects of Changes in "A" on the Graph Y=ax^2 + C

Your Algebra learners will appreciate this fabulous, two-page printable. The first page has a list of numbers that lead to the learners writing an equation in a cloud that represents these numbers, and then filling in a table, and...

Given verbal, symbolic, numerical, or graphical representations of problem situations, the student will interpret and predict the effects of changing the slope in the context of the situations.

Given algebraic, graphical, or verbal representations of linear functions, the studnet will determine the effects on the graph of the parent function f(x) = x.

A nonlinear function that can be written on the standard form ax^2 + bx + c,where a is not = 0, is called a quadratic function. All quadratic functions hava a U-shaped graph called a parabola.

The student will describe the effects of changing one or more dimensions on the area of a figure.

The student will describe the effects of changing one or more dimensions on the volume of a 3-dimensional figure.

Given verbal, symbolic, numerical, or graphical representations of problem situations, the student will interpret and predict the effects of changing the y-intercept in the context of the situations.

Given pictorial representations and problem situations involving area, the student will describe the effects on area when dimensions are changed proportionally.

Given the graph of a situation represented by a quadratic function, the student will analyze the graph and draw conclusions.

Given problem situations involving similar figures, the student will describe the effect on perimeter when one or more dimensions of the figure are changed and apply this idea in solving problems.