Graph Question

[kalyan601]

For this question,

for part a), would I just add 1 to all the x values in the graph, moving it to the right by 1? So the co-ords of the points where it crosses the axis would be (1,3) (2,0) (5,0)?
for part b), would I double the y values of the graph making it twice as high so the co-ords would be (0,6) (1,0) (4,0) ?
and for part c) would I just half the x values making the graph much narrower so the co-ords would be (0,3) (0.5,0) (2,0)

Thanks a lot for your help in advance

 

[Ishuda]

You are close but you went in the wrong direction on (a). Take the value f(0), that is the point (0,3). Looking at f(x+1), what would x be to make x+1 equal to zero?

Similarly for f(\(\displaystyle \frac{1}{2}x\)). Take the value of f(4), that is the point (4,0). What would x be to make \(\displaystyle \frac{1}{2}x\) equal to 4?

You are correct on the 2 f(x) question.

 

[kalyan601]

You are close but you went in the wrong direction on (a). Take the value f(0), that is the point (0,3). Looking at f(x+1), what would x be to make x+1 equal to zero?

Ok, x would have to be -1 for x+1 to equal zero, so I move it to the left?

Similarly for f(\(\displaystyle \frac{1}{2}x\)). Take the value of f(4), that is the point (4,0). What would x be to make \(\displaystyle \frac{1}{2}x\) equal to 4?

So the graph will be twice as wide rather than half as wide?

Thanks for your help!

 

[Ishuda]

Ok, x would have to be -1 for x+1 to equal zero, so I move it to the left?

Yes

So the graph will be twice as wide rather than half as wide?

Thanks for your help!

Yes.

Your Welcome.

 

[kalyan601]

Yes



Yes.

Your Welcome.

Thanks!