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First, you should type this equation into your graphing calculator and push the zoom 7-trig button in order to see the graph properly.

The amplitude is the distance from the x-axis to the peak of the curve (the very top or bottom). When you check the table on your graphing calculator, you will see that the y-values only go up until 3 and down until -3 meaning that the graph cannot exceed these y-values.

The x-axis is zero on the y-axis so...

0-3=-3

0-(-3)=3

Distance is always positive so the amplitude is 3 units.

**Make sure to type everything in carefully. Your work can simply include a sketch of the graph and the table of values of the equation. Have fun!

Q: What is the amplitude of the graph of the equation y equals 3sin6x?

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The equation 0 equals 0 is an identity and contributes absolutely nothing to the part of the graph that you should shade or not. The tautological statement can be ignored.

Same way you graph y = -4x - 0.5

Just swap the letter around in the formula that you are given!

5

the graph is moved down 6 units

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The equation 2x - 3y = 6 is a linear equation and a linear equation is always has a straight line as a graph

The equation has no slope. The graph of the equation is a straight line with a slope of -1 .

That's not an equation, so there's nothing to graph. Simple way to tell: There's no "equals" sign in it.

The equation 0 equals 0 is an identity and contributes absolutely nothing to the part of the graph that you should shade or not. The tautological statement can be ignored.

A linear equation ?

The slope of the graph of that equation is -1.

12

Same way you graph y = -4x - 0.5

Just swap the letter around in the formula that you are given!

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