Answer: Parabola
Step-by-step explanation:
Given that c and d are constants, then:
g(x) = (x - c)^2 + d
g(x) = x^2 - 2c x + c^2 + d
g(x) = (1) x^2 - (2c)x + (c^2 + d)
thus, g(x) is a quadratic function, then its graph is a parabola that opens upwards (first coefficient is positive = 1).
