Has a positive gradient (in a y=mx+c graph)
In the form y=mx+b, b is the y-intercept and m is the coefficient, so if an equation has a negative coefficient, m<0. As a graph, the slope of the line is negative.
Changing a variable in a quadratic equation affects the shape and position of its graph. For example, altering the coefficient of the quadratic term (the leading coefficient) changes the width and direction of the parabola, while modifying the linear coefficient affects the slope and position of the vertex. Adjusting the constant term shifts the graph vertically. Overall, each variable influences how the parabola opens and its placement on the coordinate plane.
Amongst polynomial graphs, it is when the coefficient of the highest power of the variable (x) is negative.
A parabola. An arch opening either north or south of the x-axis depending on the sign of the coefficient (negative opens down, positive opens up).
idk
Most graphs will become steeper as the coefficient increases.
For a straight line graph, if the equation of the graph is written is the slope-intercept form, then the line goes up and to the right when the coefficient of x is positive.
Has a positive gradient (in a y=mx+c graph)
In the form y=mx+b, b is the y-intercept and m is the coefficient, so if an equation has a negative coefficient, m<0. As a graph, the slope of the line is negative.
The graph follows a very strong downward trend. Would have helped if you specified which correlation coefficient; there are different types.
y=mx has a slope of m, if the slope is 0, m must be 0. So the coefficient of x is 0.
the left end of the graph is going in a positive direction and the right end is going in a negative direction.
The graph of force of friction vs total weight is typically linear, following the equation of force of friction = coefficient of friction * total weight. As total weight increases, the force of friction also increases proportionally. The slope of the graph represents the coefficient of friction.
The skin friction coefficient decreases with increasing Reynolds number until a certain point, known as the transition point. After this point, the skin friction coefficient tends to stabilize or slightly increase. This graph typically displays a curve with a gradual decrease followed by a plateau.
Neither statement is true. The graph of the absolute value of a function which is always non-negative will be the same as that of the original function and this need not open in any direction. Also, the graph of y = abs[x*(x-1)*(x+2)] is not symmetrical so there is no coefficient which will determine a line of symmetry.
Amongst polynomial graphs, it is when the coefficient of the highest power of the variable (x) is negative.