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![](https://rs.olm.vn/images/avt/0.png?1311)
![](https://rs.olm.vn/images/avt/0.png?1311)
Theo đề, ta có:
\(\left\{{}\begin{matrix}a+c+2=-4\\-\dfrac{4-4ac}{4a}=6\end{matrix}\right.\Leftrightarrow\left\{{}\begin{matrix}a=-6-c\\4ac-4=24a\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}a=-6-c\\4c\left(-6-c\right)-4-24\left(-6-c\right)=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}a=-c-6\\-24c+4c^2-4+144+24c=0\end{matrix}\right.\)
\(\Leftrightarrow\left\{{}\begin{matrix}a=-c-6\\4c^2+140=0\end{matrix}\right.\)(vô lý)
![](https://rs.olm.vn/images/avt/0.png?1311)
để đồ thị của hàm số 𝑦 = 3𝑚𝑥 + 𝑚 − 5 đi qua điểm A( -2 ; 4) thì:
\(4=3m.\left(-2\right)+m-5\\ \Rightarrow4=-6m+m-5\\ \Rightarrow9=-5m\\ \Rightarrow m=-\dfrac{9}{5}\)
Thay x=-2 và y=4 vào (d), ta được:
-6m+m-5=4
=>-5m=9
hay m=-9/5
![](https://rs.olm.vn/images/avt/0.png?1311)
1: Theo đề, ta có:
-b/2*(-1)=5/2
=>-b/-2=5/2
=>b=5
2: y=-x^2+5x-4
![](https://rs.olm.vn/images/avt/0.png?1311)
Tham khảo:
Trong mặt phẳng tọa độ Oxy, đồ thị hàm số bậc hai \(y = f(x) = {x^2} - 4x + 3\) là một parabol (P1):
+ Có đỉnh S với hoành độ: \({x_S} = \frac{{ - b}}{{2a}} = \frac{{ - ( - 4)}}{{2.1}} = 2;{y_S} = {2^2} - 4.2 + 3 = - 1.\)
+ Có trục đối xứng là đường thẳng \(x = 2\) (đường thẳng này đi qua đỉnh S và song song với trục Oy);
+ Bề lõm quay lên trên vì \(a = 1 > 0\)
+ Cắt trục tung tại điểm có tung độ bằng 3, tức là đồ thị đi qua điểm có tọa độ (0; 3).
Ta vẽ được đồ thị như hình dưới.
*So sánh với đồ thị hàm số ở Ví dụ 2a:
Giống nhau: Có chung trục đối xứng
Khác nhau:
Điểm đỉnh và giao điểm với trục tung của hai hàm số đối xứng với nhau qua trục Ox.
Bề lõm của (P) xuống dưới còn (P1) quay lên trên.
Nhận xét chung: Hai đồ thị này đối xứng với nhau qua trục Ox.
![](https://rs.olm.vn/images/avt/0.png?1311)
Hình vẽ:
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)