The function h (x) = 1/2 (x+3) ^2+2. How is the graph of h (x) translated from the parent graph of a quadratic function f (x) = x^2

Question

Mathematics

Greta Koch

2 April, 08:06

The function h (x) = 1/2 (x+3) ^2+2. How is the graph of h (x) translated from the parent graph of a quadratic function f (x) = x^2

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Solomon Wolfe · Answer 1

From x² to (x+3) ², the graph shifted 3 units to the left

from x² to 1/2 x², the graph is vertically compressed by a factor of 1/2

from 0 (f (x) doesn't have a constant, so it is 0) to + 2, the graph shifts upward 2 units.

answer should include all there bold parts.