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Answer: Vertex : Maximum (2, 0)
Rules:
- (x + d)² = x² + 2dx + d² and (x - d)² = x² - 2dx + d²
- x² + 2dx = (x + d)² - d² and x² - 2dx = (x - d)² - d²
Solve:
x² - 4x + 4
x² - 2(2x) + 2²
(x - 2)²
Into vertex form: a(x - h)² + k
1(x - 2)² + 0
Identify:
vertex : (h, k) = (2, 0)
Find additional things, to graph the equation:
(i) x-intercept: (2, 0)
(ii) y-intercept: (0, 4)
Graph shown:
Given:
The point is (-12,-8).
Rule of transformation is .
To find:
The coordinates of image after transformation.
Solution:
According to the rule of transformation , first the point is dilated by factor
with origin as center of dilation after that it was rotated 270 degrees anticlockwise.
If a point is dilated by factor with origin as center of dilation, then
If a point is rotated 270 degrees anticlockwise, then
Therefore, the coordinates of image after transformation are (-2,3).