true
The axis of symmetry is a line where if you were to fold the graph in half on that line, every point should perfectly match up with it's opposite.
it is called a half plane :)
A discrete graph is one where one or both variables can only take a some values. These are usually integer values but need not be. For example, shoe sizes (in UK) go up in half units. A non-linear graph is one in which the points of the graph do not lie on a straight line.
g(x) = √(x - 16) The graph of g(x) = √(x - 16) has the same shape as the graph of f(x) = √x. However, it is shifted horizontally to the right 16 units. The graph of the function f(x)=square root(x) is made up of half a parabola (in the first quadrant) with directrix (16, 0), which opens rightward. The domain is [16,∞) and range [0, ∞).
The graph of that function looks like a big letter ' V '. The point of the 'V' is at the origin,the left half has slope = -3, and the right half has slope = 3.
the graph of y = |x| (absolute value of x) looks like a V with the point of the V at the origin. When x is negative (left half of graph), the line y = -x coincides with |x| so this half has a slope of -1. When x is positive (right half of graph), the line y = x coincides with |x| so this half has a slope of +1.
' -6 ' and ' 6 ' are not points. On a 2-dimensional (flat) graph, you need two coordinates to locate one point. (On a 3-dimensional (solid) graph, you need three coordinates to locate one point. And there's no such thing as a 1-dimensional graph.)
negative one and a half
Twice half its rate of decline ;-)
If the point is x=a, y=b, the line is (y-b)=slope times (x-a).Or, slope=(y-b)/(x-a)So (y+1/2)=1/2 (x-1/3)Another answer:-Point: (1/3, -1/2)Slope: 1/2Equation: y - -1/2 = 1/2(x -1/3) => y = 1/2x -2/3In its general form: 3x -6y -4 = 0
Since distance is 1/2 at^2 where a is acceleration, it represents one half of the acceleration
That's unusual. I guess your teacher is trying to make you think a bit. It's a good mental exercise, though. You may recall that the units of acceleration are meters per second squared. That gives you a clue right there. And if you knew Calculus, you'd know that acceleration is the second derivative of distance, s, with respect to time, t: d2s/dt2. So, by now you're probably getting the feeling that the slope of a distance-time squared graph has something to do with acceleration. And you'd be right. Just as the slope of a velocity-time graph is acceleration, the slope of a distance-t2 graph is acceleration. Well, not quite. It's actually ONE HALF the acceleration.
The opposite of a discrete graph is a continuous graph. A continuous graph is where one of the variables (usually time) can continue on past what the graph says. An example would be if some one was traking the weather hour be hour. They could stop the graph at one point, but the information carries on. A discrete graph is where niether of the variables could be carried out past the graph. An example would be a shirt sale graph of how many shirts for a certain amount of money. Technically, you could have five dollars for half a shirt but realistically, you wouldn't cut a shirt in half
Changing the initial position on a position-time graph shifts the entire graph up or down, while changing the initial velocity on a velocity-time graph shifts the entire graph up or down. This does not affect the slope of the graph, which represents velocity.
No. A half line (also called a ray) is a linear object which starts at the first point, and extends to infinity through the second point. So the half-line (or ray) AB starts at point A, and shoots 'through' B and continues past B to infinity. The half-line BA is the other way around: it starts at point B, and then shoots 'through' A and continues past A to infinity. These two half-lines/rays end up extending to infinity in opposite directions, so they are not the same (not congruent).
Normally it is not.