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the graph is moved down 6 units

Q: What is the effect on the graph of the equation y equals x2 plus 2 when it is changed to y equals x2 - 4?

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I guess you mean 4x + 2y = 12 is changed to 4x + 2y = 36. The graph is translated (shifted) up the 7 axis by 24.

The starting point on the y-axis changes from -2 to 6.

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!

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I guess you mean 4x + 2y = 12 is changed to 4x + 2y = 36. The graph is translated (shifted) up the 7 axis by 24.

It keeps the same shape and size, but the whole thing rises four units on the paper, as if by magic.

The diagonal line collapses into a single point on that line.

35

The starting point on the y-axis changes from -2 to 6.

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