[list][*][color=#0000ff]HSG-GPE.A: Work with geometric descriptions and the equation for a conic section[/color][/*][*][color=#0000ff]HSG-CO.A: Experiment with transformations in the plane[/color][/*][/list]
[b]1. The parabola in the image has its focus at (4, 3). Its directrix is the line [i]y[/i] = 1. The[br]point (8, 6) is on the parabola.[/b]
Select [b]all [/b]of the statements that are [b]true[/b].
[b]2. Line [i]m[/i] is represented by the equation: [i]y[/i] + 2 = [/b][math]\frac{3}{2}[/math][b]([i]x[/i] + 4)[br][/b][br]Select [b]all [/b]equations that represent lines perpendicular to line [i]m[/i].
[b]3. The image shows a circle with center (4, 6) and radius 10 units.[/b]
Select [b]all [/b]points that lie on the circle.
[b]4. Find the center and radius of the circle given by this equation:[br][br] [/b][i][b]x[/b][math]^2[/math][/i][b] - 10[i]x[/i] + [/b][i][b]y[/b][math]^2[/math][/i][b] + 6[i]y[/i] - 30 = 0[/b]
[b]5. Figure [i]F[/i] is graphed.[/b]
a. Transform figure [i]F[/i] using the rule ([i]x[/i], [i]y[/i]) [math]\longrightarrow[/math] (-[i]x[/i], [i]y[/i] - 8).
b. Describe the transformation precisely.
c. Does the transformation result in a figure that is congruent to the original, similar to the original, or neither?