1 / 15

Functions and Graphs: Rectangular Coordinates & Equations

Explore rectangular coordinates, the Cartesian plane, midpoint formula, equations, and more to deepen your understanding of functions and graphs. Learn how to find distances, midpoints, and intercepts for equations. Practice plotting graphs and solving equations with ease.

ncanales
Download Presentation

Functions and Graphs: Rectangular Coordinates & Equations

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Chapter 1: Functions and their Graphs 1.1 Rectangular Coordinates and 1.2 Graphs of Equations

  2. You know what this is already… 1.1 Rectangular Coordinates I. The Cartesian Plane

  3. II. The Pythagorean Theorem and the Distance Formula

  4. Find the distance between (2, -5) and (8, 3).

  5. Show that the points (1, -3), (3, 2), and (-2, 4) form an isosceles triangle.

  6. The midpoint between two generic points can be found by taking the average of the x-coordinates and the average of the y-coordinates… • Find the midpoint of the line segment joining the points (-9, 5) and (4, 2) III. The Midpoint Formula

  7. “A solution of an equation in two variables (x and y) is an ordered pair (call it (a, b) ) such that when x is replaced with a and y replaced by b, the resulting equation is a true statement….” • WHAT? Basically, if the point fits into the equation, then that point should be included in the graph of the equation. • The actual graph is the set of ALL points that work. 1.2 Graphs of EquationsI. The Graph of an Equation

  8. Sketch the graph of the following: • y= 2x+1 WHEN IN DOUBT PLOT (KINDA) RANDOM POINTS

  9. WHEN IN DOUBT PLOT (KINDA) RANDOM POINTS

  10. X- Intercept Y-intercept How do you find them? II. Intercepts of a Graph

  11. Find the x and y intercept of:

  12. III. Symmetry

  13. A circle with a center (h, k) and a radius r consists of all points (x, y) equidistant from the center. We can find the equation of a circle from what we know of the distance formula… • Find the standard form of the equation of a circle with center at (2, -5) and a radius of 4. IV. Circles

More Related