Identify the translation of the graph of x​^2. a.) h(x) = -(x – 2)​ – 3 b.) h(x) = (x + 1)​ + 5

Answer 1

Assuming that both these equations include a 2 showing that it is a quadratic equation...

we can interpret transformations in the context of vertex form: y = a(x - h)^2 + k

a) Negative sign shows a reflection over the x-axis

(a = -1)

Shifted 2 units to the right (h = 2)

Shifted 3 units down (k = -3)

b) Shifted one unit left (h = -1)

Shifted 5 units up (k = 5)

Hope that helps!