Question

Graph the image of the figure after a dilation with a scale factor of 2 centered at (−7, −2).

Use the Polygon tool to graph the quadrilateral by connecting all its vertices.

Keyboard Instructions
Initial graph state
Graph has a background image with description "".
The horizontal axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
The vertical axis goes from -10.8 to 10.8 with ticks spaced every 1 unit(s).
Polygon with coordinates: (-6, 2), (-3, -2), (-1, 1), (-4, 3), (-6, 2).
Point with coordinates (-7, -2).

Answer 1

Apply the dilation formula: image = center + 2*(point − center), where center = (−7, −2).

Compute each vertex:
- (−6, 2): vector = (1, 4) → scale 2 → (2, 8) → image = (−7+2, −2+8) = (−5, 6)
- (−3, −2): vector = (4, 0) → scale 2 → (8, 0) → image = (−7+8, −2+0) = (1, −2)
- (−1, 1): vector = (6, 3) → scale 2 → (12, 6) → image = (−7+12, −2+6) = (5, 4)
- (−4, 3): vector = (3, 5) → scale 2 → (6, 10) → image = (−7+6, −2+10) = (−1, 8)

Graph the quadrilateral with vertices (in order): (−5, 6), (1, −2), (5, 4), (−1, 8), and back to (−5, 6). The center (−7, −2) stays fixed.