Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
Answer:
ow you love to hate me
Kinda sad that you always been like that
Baby, you're wasting all your time
I can't relate, I keep it light
No, no, no drama in my life
Step-by-step explanation:
ow you love to hate me
Kinda sad that you always been like that
See me making waves and you don't like that
Driving through your puddles goin' splish splash
(Splish, splash, splish, splash)
The -2 has a multiplicity of 2
Since the order of (x+2) is squared, i.e. power is 2