Select any tow values of x, say x1 and x2.Calculate y1 = 5*x1 - 12 and y2 = 5*x2 - 12.
Mark the points (x1, y1) and (x2, y2).
Join them with a straight line and extend in both directions.
Yes, that is a shifted tanX graph, just as you would shift any graft.
The graph shifts downward (negative y) by 9 units.
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3
y = -4x The y-intercept is zero. That is, the graph passes through the origin.
The graph of [ y = -3x ] is a straight line, through the origin, with slope of -3 .
No translation will invert a quadratic graph.
Yes, that is a shifted tanX graph, just as you would shift any graft.
The slope or gradient is the same and would run parallel but the intercept on the y axis would be at -1
The graph shifts downward (negative y) by 9 units.
First, reflect the graph of y = x² in the x-axis (line y = 0) to obtain the graph of y = -x²; then second, shift it 3 units up to obtain the graph of y = -x² + 3.
2,4
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The equation you have given, y + 2 = 7, does not describe a line, it describes the number 5. You would not graph a single number, there is nothing to graph.
y= -5
3
y equals x-4 plus 2 is the same as y = x-2. You just translate the graph of y=x, 2 units to the right, OR 2 down.