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What else can I help you with?
The first number in an ordered pair is always called the y-coordinate and the second number is always called the x-coordinate?
Other way around (X,Y)
A sign chart helps you record data about a function's values around its and asymptotes?
A sign chart helps you record data about a function's values around its _____ and _____ asymptotes. zeros vertical
How do you find an inverse of a function?
The inverse of a function can be found by switching the independent variable (typically the "x") and the dependent variable (typically the "y") and solving for the "new y". You can also create a t-chart for the original function, switch the x and the y, and graph the new relation.You will note that a function and its inverse are symmetrical around the line "y = x".Sometimes the inverse of a function is not actually a function; since it doesn't pass the "vertical line test"; in this case, you have to restrict the new function by "erasing" some of it to make it a function.
How do you graph an absolute value function?
This would be graphed the same way as any other function, except that any values which are normally drawn below the x-axis are instead reflected around it.
What property of addition states that the order in which two real numbers are added does not affect the sum?
That is the commutative property. Formally, A + B = B + A. The word "commutative" comes from a root meaning "to move around."
In addition to moving the graph of a function around the Cartesian coordinate system you can also change the graph's?
shape
In addition to moving the graph of a function around the Cartesian coordinate system what can you also change on the graph?
shape
What is the rule for a 270 degree counter clockwise rotation?
A 270-degree counterclockwise rotation around the origin in a Cartesian coordinate system transforms a point ((x, y)) to the new coordinates ((y, -x)). This means the x-coordinate becomes the y-coordinate, and the y-coordinate changes its sign and becomes the new x-coordinate. Essentially, it rotates the point three-quarters of the way around the origin.
What are some stuff named after Rene Descartes?
Some things named after René Descartes include the Cartesian coordinate system used in mathematics, the Descartes' rule of signs in algebra, and the Cartesian diver in physics. Additionally, there are numerous schools, streets, and institutions around the world named after him.
What is the formula of 180 degree clockwise rotation?
To perform a 180-degree clockwise rotation of a point ((x, y)) around the origin in a Cartesian coordinate system, the formula is given by ((x', y') = (-x, -y)). This effectively inverts both the x and y coordinates, resulting in a point located directly opposite on the Cartesian plane.
How was the Cartesian Coordinate Plane discovered?
Apparently, Decarte (the guy who discovered it) was lazy, and decided to just lay in bed when he woke up. He ended up watching a fly walk around his ceiling. He noticed its movement was in accordance with two axis, the x and y axis. He had a eureka moment, and got out of bed and started writing the Appendix on Geometry, his book about the coordinate plane.
What does rotate mean in maths?
A rotation turns a shape through an angle around a fixed point usually on the Cartesian plane
How do a 90 counterclockwise look like?
A 90-degree counterclockwise rotation involves turning an object or point 90 degrees to the left around a specified pivot point. For example, if you imagine a point on a Cartesian coordinate system, moving it 90 degrees counterclockwise would shift its position from, say, (1, 0) to (0, 1). This transformation effectively swaps the x and y coordinates and changes the sign of the new x-coordinate.
What is a rotation of 270 Degrees clockwise?
A rotation of 270 degrees clockwise is equivalent to a rotation of 90 degrees counterclockwise. In a Cartesian coordinate system, this means that a point originally at (x, y) will move to (y, -x) after the rotation. Essentially, it shifts the point three-quarters of the way around the origin in the clockwise direction.
Can an angle be negative?
Visually it doesn't make sense for an angle to be negative. However we often measure angles off of some axis, such as the x-axis, and positive angles go around counter-clockwise, while negative angles go around clockwise. Outside of the context of a Cartesian Coordinate system (x-y plane), negative angles don't generally make sense.
What does grid location?
A grid reference system, also known as grid reference or grid system, is a geographic coordinate system that defines locations in maps using Cartesian coordinates based on a particular map projection. Grid lines on maps illustrate the underlying coordinate system.
What is the order pair in quadrant 1?
( 45, 67 ) The quadrants of a Cartesian plane are numbered starting in the top-right, and moving around the origin in a counter-clockwise fashion. This means that all of the coordinates in the first quadrant have a positive x value, and a positive y value. So, any pair of positive numbers will guarantee a coordinate in the first quadrant.
