Question g-x-x-

2.1 Nonlinear Functions - Quadratic graphs and vertex form
0:00

gx=x2+55

What is the minimum value of the given function?

A.

0

B.

55

C.

110

D.

3,025

g x = x 2 + 55 What is the minimum value of the given function?

Medium-difficulty · SAT Math · Nonlinear Functions — Quadratic graphs and vertex form. Read the question above, select your answer, and check the full explanation below to understand exactly why the correct choice works.

Answer explanation

Choice B is correct. For a quadratic function defined by an equation of the form gx=ax-h2+k, where a , h , and k are constants and a>0, the minimum value of the function is k . In the given function, a = 1 , h = 0 , and k = 55 . Therefore, the minimum value of the given function is 55 .

Choice A is incorrect. This is the value of x for which the given function reaches its minimum value, not the minimum value of the function.

Choice C is incorrect and may result from conceptual or calculation errors.

Choice D is incorrect and may result from conceptual or calculation errors.