Track / Stage 4 / 50 of 340 #310 of 2000

Problem 310

AMC 12 late, AIME early

Algebra Difficulty 4.6 Find the answer

2. The graph of the quadratic function $y=$ $a x^{2}+b x+c(a \neq 0)$ is shown in Figure 9. Then the simplified result of the quadratic radical $\sqrt{(a+c)^{2}}+$ $\sqrt{(b-c)^{2}}$ is ( ).
(A) $a+b$
(B) $-a-b$
(C) $a+b-2 c$
(D) $-a+b-2 c$
(2001, Zhejiang Shaoxing Region Junior High School Mathematics Competition)

Your answer

Official solution

(Answer: D. )

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.