SAT question 341ba5db (Nonlinear Functions)

Question

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

College Board · Accepted Answer

The correct answer is B. Choice B is correct. For a quadratic function defined by an equation of the form g ( x ) = a ( x - h )^2 + 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 .

CookSAT · Answer

Note: Graph the function and click on the vertex to see its y-coordinate, which is the minimum value.

Explanation

Enter in Desmos:

Why the other choices are wrong

SAT Question 341ba5db: Nonlinear Functions answer and explanation with Desmos solution

Explanation

Enter in Desmos:

Why the other choices are wrong