(-4,-2)
You cannot have a horizontal shift in the down direction: a horizontal shift must be left or right!
The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates.
-- square the point's x-coordinate -- square the point's y-coordinate -- add the two squares together -- take the square-root of the sum -- the answer is the distance of the point from the origin. This works because if you draw a line down from the point to the x-axis (length is y-coordinate), then along the x-axis to the origin (length is x-coordinate), and back to the point (length is distance), you just made a right triangle. Then you can use the Pythagorean Theorem to find the length of the long side (the distance) since you know the length of the two shorter sides.
f(x) cannnot be a graph of itself translated down by anything other than 0 units.
you have to get y by itself (y=mx+b form). subtract 4x from both sides of the equation. now you have y=-4x+6. start at the origin and go up 6 units. your m (slope) is -4 so go down 4 units and go over 1 unit.
They are (a, b-4).
In cartesian coordinates (x, y) = (3, -4)
t's at the point (0,-7) So from the origin you just go down 7
The new coordinates are (3, -5).
Polar coordinates are another way to write down a location on a two dimensional plane. The first number in a pair of coordinates is the distance one has to travel. The second number in the pair is the angle from the origin.
You cannot have a horizontal shift in the down direction: a horizontal shift must be left or right!
A graph has two axes - the x-axis and the y-axis. The x-axis measures how many units a point is to the left or right of the origin (0,0). The y-axis measures the number of units up or down.
(2,1)
The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates.
By going left 3 units and down 4 units.
-- Find the point (x = -4) on the x-axis. (It's 4 units to the left of the origin.) -- Draw a vertical line through that point, as far up and down as you want to go. (Technically, it never ends.)
6