sorry this is late!!
#1 - A circular grid like this one can be helpful for performing dilations
#2 - To perform a dilation, we need a (In order to perform a dilation, students will need to know the center of dilation (which can be communicated using the coordinate grid), the coordinates of the polygon that they are dilating (also communicated using the coordinate grid), and the scale factor.)
A) x + y = 24
B) x^2 + y^2 = 306
A) x = 24 -y
Then substituting this into B)
(24 - y)^2 +y^2 = 306
576 -48y +y^2 + y^2 = 306
2 y^2 -48y + 270 = 0
x1 = 15
x2 = 9
Answer:
To find the x-intercepts we can write:
0 = -1/2(x + 3)² + 4
0 = -1/2(x² + 6x + 9) + 4
0 = -1/2x² - 3x - 9/2 + 4
0 = -1/2x² - 3x - 1/2
0 = x² + 6x + 1
x = -3 ± 2√2 (use quadratic formula)
As a decimal this can be written as x = -5.83, x = -0.17.
