Question

Helpppppp

Which function has a smaller minimum? What is that minimum value?
a.f(x) has the smaller minimum. The minimum is -1.
b.g(x) has the smaller minimum. The minimum is -1.
c.g(x) has the smaller minimum. The minimum is -3.
d.f(x) has the smaller minimum. The minimum is -3.

Answer 1

• c. g(x) has the smaller minimum. The minimum is -3.

Explanation:

Given functions

• f(x) = (x - 1)^2 - 1 (graphed)

and

• g(x) = (x - 1)^2 - 3

Comparing the vertex of the functions (the minimum), we see that:

• f(x) has a vertex (1, -1)
• g(x) has a vertex (1, -3)

Correct option is c)