So the image (that is, point B) is the point (1/25, 232/25). So the intersection of the two lines is the point C(51/50, 457/50). More lessons and practice problems can be found at https://c. Using the substitution method gives 7x + 2 = (-1/7)x + 65/7 (50/7)x = 51/7 x = 51/50. In this video, you will learn how to do a reflection over an axis, such as the x-axis or y-axis. Now we need to find the intersection of the lines y = 7x + 2 and y = (-1/7)x + 65/7 by solving this system of equations. So the equation of this line is y = (-1/7)x + 65/7. So the desired line has an equation of the form y = (-1/7)x + b. Since the line y = 7x + 2 has slope 7, the desired line (that is, line AB) has slope -1/7 as well as passing through (2,9). So we first find the equation of the line through (2,9) that is perpendicular to the line y = 7x + 2. Then, using the fact that C is the midpoint of segment AB, we can finally determine point B.Įxample: suppose we want to reflect the point A(2,9) about the line k with equation y = 7x + 2. if n is an odd integer, then f (x) is an 'odd. if n is an even integer, then f (x) is an 'even' function. To answer your second question, 'even' and 'odd' functions are named for the exponent in this power function: f (x) x. Just remember: symmetry around x-axis function. In order to define or describe a reflection, you need the equation of the line of reflection. Then we can algebraically find point C, which is the intersection of these two lines. So, a function can never be symmetrical around the x-axis. When reflecting over (across) the y-axis, we keep y the same, but make x-negative. So we can first find the equation of the line through point A that is perpendicular to line k. This video shows two methods of achieving this reflection. Note that line AB must be perpendicular to line k, and C must be the midpoint of segment AB (from the definition of a reflection). This video demonstrates the steps needed to reflect a figure over the y-axis. Let A be the point to be reflected, let k be the line about which the point is reflected, let B represent the desired point (image), and let C represent the intersection of line k and line AB.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |