Reflect over x-axis; translate left 2
y = -(x + 2)²
To reflect a point, line, or shape over the x-axis, we simply reverse the sign of the y-coordinate of each point.
For example, if we have the point (3, 4), reflecting it over the x-axis would give us the point (3, -4).
To translate a point, line, or shape left 2 units, we subtract 2 from the x-coordinate of each point.
For example, if we have the point (3, 4), translating it left 2 units would give us the point (1, 4).
To do both of these transformations together, we can first apply the reflection over the x-axis, and then apply the translation left 2 units.
As an example, let’s take the point (6, 8).
– Reflecting over the x-axis would give us (6, -8)
– Translating left 2 units would give us (4, -8)
So the final point after both transformations would be (4, -8).
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