Multiplying a function by -1 will make it a reflection of the original function across the x axis.
Yes it does
The graph will cross the y-axis once but will not cross or touch the x-axis.
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
The same as multiplying any other function by a negative number - after multiplying, positive numbers will become negative numbers, and vice versa.
When a function is multiplied by -1 its graph is reflected in the x-axis.
Multiplying a function by -1 will make it a reflection of the original function across the x axis.
Yes it does
The phase angle phi in the cosine function cos(wtphi) affects the horizontal shift of the graph of the function. A positive phi value shifts the graph to the left, while a negative phi value shifts it to the right.
Multiply by -1
the left end of the graph is going in a positive direction and the right end is going in a negative direction.
x
The graph will cross the y-axis once but will not cross or touch the x-axis.
It depends on the graph, and what the problem is asking, some are negative and others positive.
The negative sine graph and the positive sine graph have opposite signs: when one is negative, the other is positive - by exactly the same amount. The sine function is said to be an odd function. The two graphs for cosine are the same. The cosine function is said to be even.
If the discriminant is negative, the equation has no real solution - in the graph, the parabola won't cross the x-axis.
The same as multiplying any other function by a negative number - after multiplying, positive numbers will become negative numbers, and vice versa.