Q: How would the graph of y equals 4x plus 3 change if the y-intercept is changed to -2?

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the graph is moved down 6 units

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.

-2

Yes, that is a shifted tanX graph, just as you would shift any graft.

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the graph is moved down 6 units

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

Both lines would be parallel to each but the y intercept would change from 5 to 9

If you were to graph both equations side by side, you would see that they are parallel lines. Both equations have the same slope it is just that the line would be moved down in the graph because of the intercept change.

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 answer will depend on what was changed to what!

The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been changed somewhat. Which of the following could be the equation of F(x)?

It would be less steep

If the axes are on autoscale, it will make no difference. Otherwise they will be 5 times the size.

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

No translation will invert a quadratic graph.

Object will change distance time graph when speed is changing. Distance time graph don't changed indicate of the stationary.