we have
Factor the leading coefficient
Complete the square. Remember to balance the equation by adding the same constants to each side
Divide both sides by
Rewrite as perfect squares
Taking the square roots of both sides (square root property of equality)
Remember that
<u>the answer is</u>
The solutions are
Given:
Vertices of triangle ABC are A (1,4), B(3,−2) and C(4,2).
Triangle ABC reflected over the x-axis to get the triangle A'B'C'.
To find:
The coordinates of the image A'B'C'.
Solution:
If a figure reflected over the x-axis, then rule of transformation is
Now, using this rule, we get
Therefore, the coordinates of the image A'B'C' after a reflection over the x-axis are A'(1,-4), B'(3,2) and C'(4,-2).