A monitor displays the graph y = 3 sin 5x. What will be the amplitude after a dilation of 2?

I am so confused.....can somebody please help me.... please??? I know the graoh of sin x but what is dilation? can somebody please explain????

i am sorry....can you please help me????

my question is how do i get this in simplest form -15 - 23 and 4/9 * 3/2

Of course! I'll be happy to explain. In mathematics, dilation refers to a transformation that changes the size of an object without altering its shape. In the context of graphs, dilation alters the y-values (amplitude) without changing the x-values (period).

To find the amplitude after a dilation of 2, you need to apply the following steps:

Step 1: Understand the original amplitude
The amplitude of a sine function represents how high or low it reaches from the center line (x-axis or midline). In the given graph, the equation is in the form y = A sin (Bx), where A represents the amplitude. So, in the original equation y = 3 sin 5x, the amplitude is 3.

Step 2: Apply the dilation factor
To achieve the dilation, multiply the original amplitude by the dilation factor. In this case, the dilation factor is 2. So, multiplying the original amplitude (3) by 2 gives us the new amplitude.

Step 3: Calculate the new amplitude
3 * 2 = 6

Therefore, after the dilation of 2, the new amplitude will be 6.

If you need a visual representation, you can plot the original sine function y = 3 sin 5x on a graph, and then apply the dilation by multiplying the y-values of each point on the graph by 2.

I hope this explanation helps! Let me know if you have any further questions.

Your School Subject is Math, not 11th grade.