Activity 1.2.4b Are Conics Functions? Conic sections are the circles, parabolas, ellipses, and hyperbolas that you studied in Geometry. In this activity we will explore the graphs of conic sections and determine whether each conic is a function, a function, or a function. always sometimes never Circles: The standard form of the equation of a circle is , where is the radius of the circle. r Graph the circle . Is the circle a function? Explain. Dilate the circle by a scale factor of 2 (that is, make the radius twice as big) and graph the circle. Is the circle a function? Explain. Is a circle a function, a function, or a function? Explain your answer. always sometimes never The standard forms of the equation of an ellipse, centered at the origin, with foci on an Ellipses: axis units from the origin, are (major axis is horizontal), or (major axis is vertical), where . c Below are two ellipses. What are the similarities and differences between the two?
Activity 1.2.4b Are Conics Functions? Conic sections are the circles, parabolas, ellipses, and hyperbolas that you studied in Geometry. In this activity we will explore the graphs of conic sections and determine whether each conic is always a function, sometimes a function, or never a function. Circles: The standard form of the equation of a circle is , where r is the radius of the circle. Graph the circle . Is the circle a function? Explain. Dilate the circle by a scale factor of 2 (that is, make the radius twice as big) and graph the circle. Is the circle a function? Explain. Is a circle always a function, sometimes a function, or never a function? Explain your answer. Ellipses: The standard forms of the equation of an ellipse, centered at the origin, with foci on an axis c units from the origin, are (major axis is horizontal), or (major axis is vertical), where . Below are two ellipses. What are the similarities and differences between the two?
Activity_1_2_4b_v3.1.docx