{"status": "success", "data": {"description_md": "The parabola $y=ax^2+bx+c$ has vertex $(p,p)$ and $y$-intercept $(0,-p)$, where $p\\ne 0$. What is $b$?\n\n$\\text {(A) } -p \\qquad \\text {(B) } 0 \\qquad \\text {(C) } 2 \\qquad \\text {(D) } 4 \\qquad \\text {(E) } p$\n___\nFull credit goes to [MAA](https://maa.org/) for authoring these problems. These problems were taken on the [AOPS](https://artofproblemsolving.com/) website.", "description_html": "<p>The parabola  <span class=\"katex--inline\">y=ax^2+bx+c</span>  has vertex  <span class=\"katex--inline\">(p,p)</span>  and  <span class=\"katex--inline\">y</span> -intercept  <span class=\"katex--inline\">(0,-p)</span> , where  <span class=\"katex--inline\">p\\ne 0</span> . What is  <span class=\"katex--inline\">b</span> ?</p>&#10;<p> <span class=\"katex--inline\">\\text {(A) } -p \\qquad \\text {(B) } 0 \\qquad \\text {(C) } 2 \\qquad \\text {(D) } 4 \\qquad \\text {(E) } p</span> </p>&#10;<hr><p>Full credit goes to <a href=\"https://maa.org/\">MAA</a> for authoring these problems. These problems were taken on the <a href=\"https://artofproblemsolving.com/\">AOPS</a> website.</p>", "hints_md": "", "hints_html": "", "editorial_md": "", "editorial_html": "", "flag_hint": "", "point_value": 3, "problem_name": "2006 AMC 12B Problem 12", "can_next": true, "can_prev": true, "nxt": "/problem/06_amc12B_p13", "prev": "/problem/06_amc12B_p11"}}