These web-based activities were developed, during summer sessions from 1997 through 1999, by students at Mainland High School, located in Daytona Beach, FL. As part of Mainland's CCTT grant, the students were given permission by the book's publisher to convert the ancillary materials of the County's adopted Algebra 1 textbook (Glencoe Algebra 1 — ISBN: 9780028253282) into html format.

Enrichment
Translating Quadratic Graphs

Definition: When a figure is moved to a new position without undergoing any rotation, then the new figure is said to have been translated to the new position.

The graph of a quadratic equation in the form y = (x - b)2 + c is a translation of the parent graph y = x2.

Here is an example.

Start with the graph of y = x2 - shown as dotted in the diagram.

Slide the graph to the right 4 units.

This results in the equation changing to y = (x - 4)2.

Then slide the graph up 3 units.

The equation has now become y = (x - 4)2 + 3.

Directions: These equations have the form y = x2 + c. Graph each equation. The parent graph of y = x2 is supplied for reference.

 

Copyright 1997-1999: html adaptation
Career Connection to Teaching with Technology