이차방정식과 이차함수의 관계

  1. 이차함수의 그래프와 이차방정식의 해
    이차함수 의 그래프와 축의 교점의 좌표는 이차방정식 의 실근과 같다.
  2. 이차함수의 그래프와 축의 위치 관계
    이차함수 의 그래프와 축의 교점의 개수는 이차방정식 의 실근의 개수와 같다. 따라서 에 대하여 이차함수 의 그래프와 이차방정식 의 해 사이에는 판별식 의 부호에 따라 다음과 같은 관계가 성립한다.
의 해
서로 다른 두 실근
중근
서로 다른 두 허근

그래프와
축의 위치관계
서로 다른 두 점에서 만난다.
한 점에서 만난다.
(접한다.)
만나지 않는다.

그래프

그래프

이차함수의 그래프와 직선의 위치 관계


이차함수 의 그래프와 직선 의 교점의 개수는 두 식을 연립한 이차방정식 , 즉 의 실근의 개수와 같다. 따라서 이차함수 의 그래프와 직선 의 위치 관계는 이차방정식 의 판별식 의 부호에 따라 다음과 같다.



의 그래프와

직선

의
위치관계
서로 다른 두 점에서 만난다. 한 점에서 만난다.
(접한다.)		 만나지 않는다.
D > 0 D=0 D < 0 y=ax^(2)+bx+c<br>(a > 0)<br>의 그래프와<br><br>직선<br>y=mx+n<br>(m > 0)의<br> 위치관계 'data:image/svg+xml;base64,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' 'data:image/svg+xml;base64,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' 'data:image/svg+xml;base64,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' 서로 다른 두 점에서 만난다. 한 점에서 만난다.<br>(접한다.) 만나지 않는다.