Take a look at the picture I have attached. This shows how to sketch it
4x was subtracted from both sides. Then, -8 was divided from both sides. Lastly, 1/2x was placed in front of -2.
The circle the has a center P(2,0) is bigger than compared to the circle with the center Q(0,4) because the former has a radius 20, while the latter has a radius of only 2. You can view the graph here:
https://www.desmos.com/calculator/od1pwqylou
(a) Describe the rule for translating center Q onto center P. By moving the center of circle Q overlapping the center of circle P, then we need to move it two units left and 4 units up.
(b) Determine the scale factor for dilating circle Q so that it has the same radius as circle P. In getting the scale factor, we need to compare the radius
= 2/10
= 1/10
So, the scale factor is 1/10
(c) Are circles P and Q similar? Explain your answer.
<span>Yes, by applying a dilation value, circle Q can be transformed to circle P, vice versa.</span>
