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
The slope of a distance-time (d-t) squared graph, where distance is plotted against time squared, represents the relationship between distance and the square of time. If the graph is linear, the slope can be interpreted as half of the acceleration, assuming constant acceleration. Mathematically, if the equation is of the form (d = kt^2), the slope (k) indicates how distance changes with the square of time. Thus, the slope provides insights into the motion's characteristics, such as acceleration.
Twice half its rate of decline ;-)
To determine the half-life of a substance from a graph, locate the point where the substance's concentration is half of its initial value. Then, find the time it took for the substance to reach that concentration. This time interval is the half-life of the substance.
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
The slope of a ( d ) versus ( t^2 ) graph represents the acceleration of an object when plotting distance (d) against the square of time (t²). In the context of uniformly accelerated motion, this slope indicates half the acceleration (a/2), as the relationship between distance and time squared is given by the equation ( d = \frac{1}{2} a t^2 ). Thus, the slope can be calculated as ( \text{slope} = \frac{d}{t^2} ) and is equal to ( \frac{a}{2} ).
Since distance is 1/2 at^2 where a is acceleration, it represents one half of the acceleration
The equation representing the relationship described is ( y = \frac{1}{2}x + 3 ). This linear equation indicates that for every value of ( x ), the corresponding ( y ) value is three units more than half of ( x ). The graph of this equation will be a straight line with a slope of ( \frac{1}{2} ) and a y-intercept at ( (0, 3) ). Thus, the correct graph will show a line that slopes upward, starting at the point (0, 3).
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.