Question

A function is in the form g(x) = (x- c)^2 + d. If can d are both positive, which

could be the graph of g(x)?

Answer 1

Answer: Parabola

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).