The transformation is shifted left 6 units, down 4 units, and reflected over the x-axis
How to explain the transformation?
It should be noted that the vertex form of a quadratic equation is: y = a(x - h)² + k where
"a" is the vertical stretch
-a is a reflection over the x-axis (+a = U-shape), -a = ∩-shape)
(h, k) is the vertex
h is the horizontal shift (positive = right, negative = left)
k is the vertical shift (positive = up, negative = down)
Given: Vertex (h, k) = (-6, -4)
Parabola is ∩-shaped so "a" is negative
The next points from vertex are 1 down 1 right and 1 down 1 left --> a = -1
Input a = -1, h = -6, k = -4 into the vertex form: y = -(x + 6)² - 4
a = -1: reflected over the x-axis
h = -6: shifted left 6 units
k = -4: shifted down 4 units
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Describe the Transformations and write the equation for the graph
