# Alberta Math 20-1

## GeoGebra Constructions Organized by Strand

### Relations and Functions Functions - Absolute Value Show how the graphs of $$f(x)$$ and $$|f(x)|$$ relate to each other Choose from: $$f(x)=a(x−b)$$ $$f(x)=a(x−b)(x−c)$$ Functions - Absolute Value - Draggable Show how the graphs of $$f(x)$$ and $$|f(x)|$$ relate to each other $$f(x)$$ is defined by draggable points Choose from: $$f(x)=ax+b$$ $$f(x)=ax^2+bx+c$$ Functions - Quadratic - Expanded Form Show how the parameters in $$f(x)=ax^2+bx+c$$ are related to the characteristics of the corresponding graph Functions - Quadratic - Factored Form Show how the parameters in $$f(x)=a(x−b)(x−c)$$ are related to the characteristics of the corresponding graph Functions - Quadratic - Vertex Form Show how the parameters in $$f(x)=a(x−p)^2+q$$ are related to the characteristics of the corresponding graph Functions - Reciprocal - Polynomials Show how the graphs of $$f(x)$$ and $$\frac{1}{f(x)}$$ relate to each other Choose from: $$f(x)=a(x−b)$$ $$f(x)=a(x−b)(x−c)$$ Functions - Reciprocal - Polynomials - Draggable Show how the graphs of $$f(x)$$ and $$\frac{1}{f(x)}$$ relate to each other f(x) is defined by draggable points Choose from: $$f(x)=ax+b$$ $$f(x)=ax^2+bx+c$$ Relations - Domain and Range Shadows Show that the range can be thought of as the shadow of the graph projected onto the y-axis Show that the domain can be thought of as the shadow of the graph projected onto the x-axis

### Trigonometry Trigonometry - Sine Law Show the geometric implications of the Sine Law Trigonometry - Sine Law - Ambiguous Case Show how 0, 1, or 2 triangles can be constructed when given two sides and a non-contained angle