Quadratic Functions Anatomy (2)

Interact with the app below by dragging the TWO LARGE POINTS. Then answer the questions that follow.

Suppose we graph the quadratic function [math]y=a\cdot x^2+c[/math]. [br][br]What does the parameter [math]c[/math] do to the graph? Explain.

Suppose we graph the quadratic function [math]y=a\cdot x^2+c[/math]. [br][br]What does the parameter [math]a[/math] do to the graph? Explain.

Check all the statements that are true below for the quadratic function [math]y=a\cdot x^2+c[/math].

When [math]c[/math] is positive, the graph always opens down. When [math]a[/math] is negative, the graph always opens down. When [math]a[/math] is positive, the graph always opens down. When [math]c[/math] is negative, the graph always opens down.

Check all the statements that are true below for the quadratic function [math]y=a\cdot x^2+c[/math].

When [math]a[/math] is positive, the graph always opens up. When [math]c[/math] is positive, the graph always opens up. When [math]a[/math] is negative, the graph always opens up. When [math]c[/math] is negative, the graph always opens up.

The graph of any quadratic function is called a [b]parabola. [/b][br]The [b]vertex[/b] of a parabola is its turning point. [br][br]Check all the statements that are true below for the quadratic function [math]y=a\cdot x^2+c[/math].

When [math]a[/math] is negative, the graph has a vertex above the xAxis. When [math]c[/math] is negative, the graph has a vertex above the xAxis. When [math]c[/math] is positive, the graph has a vertex above the xAxis. When [math]a[/math] is positive, the graph has a vertex above the xAxis.

Check all the statements that are true below for the quadratic function [math]y=a\cdot x^2+c[/math].

When [math]c[/math] is positive, the graph has a vertex below the xAxis. When [math]a[/math] is positive, the graph has a vertex below the xAxis. When [math]c[/math] is negative, the graph has a vertex below the xAxis. When [math]a[/math] is negative, the graph has a vertex below the xAxis.

Quadratic Functions Anatomy (2)

Interact with the app below by dragging the TWO LARGE POINTS. Then answer the questions that follow.

Information: Quadratic Functions Anatomy (2)