The graph would be translated upwards by 2 units.
If you mean y = 12x -2 and y = 12x then both slopes will be parallel but with the changed function having its slope passing through the origin (0, 0)
To graph the inverse of a function without finding ordered pairs, you can reflect the original graph across the line ( y = x ). This is because the coordinates of the inverse function are the swapped coordinates of the original function. Thus, for every point ( (a, b) ) on the original graph, the point ( (b, a) ) will be on the graph of its inverse. Ensure that the original function is one-to-one for the inverse to be valid.
The graph is a region of the space on one side or another of the related function. If the inequality is strict then the related function itself is not part of the solution; otherwise it is.
Multiplying a function by -1 will make it a reflection of the original function across the x axis.
The straight line in the graph goes 'uphill' from left to right
The answer will depend on what was changed to what!
If you mean y = 12x -2 and y = 12x then both slopes will be parallel but with the changed function having its slope passing through the origin (0, 0)
To graph the inverse of a function without finding ordered pairs, you can reflect the original graph across the line ( y = x ). This is because the coordinates of the inverse function are the swapped coordinates of the original function. Thus, for every point ( (a, b) ) on the original graph, the point ( (b, a) ) will be on the graph of its inverse. Ensure that the original function is one-to-one for the inverse to be valid.
It would be shifted down
It would be less steep.
A line. The derivative of a function is its slope. If the slope is a constant then the graph is a line.
It would be less steep
The graph is a region of the space on one side or another of the related function. If the inequality is strict then the related function itself is not part of the solution; otherwise it is.
It is a reflection of the original graph in the line y = x.
Multiplying a function by -1 will make it a reflection of the original function across the x axis.
The straight line in the graph goes 'uphill' from left to right
To determine the phase constant from a graph, identify the horizontal shift of the graph compared to the original function. The phase constant is the amount the graph is shifted horizontally.