About Lesson
2.4 Graph and Nature of Quadratic Equation 一元二次函数的图像及性质
Sketch the following functions, state also their symmetric axis, extreme point, domain and range.
画出下列函数的图像,并写出它们的对称轴,顶点,定义域和值域。
[1]
Answer :
x = 1, (1, 1), D = R, R = [1,
)

[2]
Answer :
x =
, (
, 10
), D = R, R = (
, 10
]
%22%20transform%3D%22translate(1.6%201.6)%20scale(3.1211)%22%3E%3Cellipse%20fill%3D%22%23fff%22%20fill-opacity%3D%22.5%22%20cx%3D%2262%22%20cy%3D%2223%22%20rx%3D%223%22%20ry%3D%2219%22%2F%3E%3Cpath%20stroke%3D%22%23fff%22%20stroke-opacity%3D%22.5%22%20fill%3D%22none%22%20d%3D%22M155.8%20123.8q9.7-13.8%206.7-27.8%22%20stroke-width%3D%22.5%22%2F%3E%3Cpath%20fill%3D%22%23fff%22%20fill-opacity%3D%22.5%22%20d%3D%22M102%208h27v15h-27zM7.6%20153l-8.5-7.6-6%2019.4%2010-20z%22%2F%3E%3C%2Fg%3E%3C%2Fsvg%3E)






[3] 

Answer :
x =
, (
,
), D = R, R = [
,
)
%22%20transform%3D%22translate(1.2%201.2)%20scale(2.32031)%22%20fill-opacity%3D%22.5%22%3E%3Cellipse%20fill%3D%22%23ccc%22%20rx%3D%221%22%20ry%3D%221%22%20transform%3D%22rotate(-1.3%204527.2%20-8207.7)%20scale(11.90308%2024.444)%22%2F%3E%3Cellipse%20fill%3D%22%23fff%22%20cx%3D%2280%22%20cy%3D%22161%22%20rx%3D%22103%22%20ry%3D%22103%22%2F%3E%3Cellipse%20fill%3D%22%23fff%22%20rx%3D%221%22%20ry%3D%221%22%20transform%3D%22matrix(-46.06106%20169.38162%20-58.89795%20-16.0165%20243%20139.8)%22%2F%3E%3Cellipse%20fill%3D%22%23dcdcdc%22%20cx%3D%22179%22%20cy%3D%2297%22%20rx%3D%228%22%20ry%3D%2227%22%2F%3E%3C%2Fg%3E%3C%2Fsvg%3E)






[4] 

Answer :
x =
, (
,
), D = R, R = [
,
)
%27%20fill-opacity%3D%27.5%27%3E%3Cellipse%20fill%3D%22%23cecece%22%20fill-opacity%3D%22.5%22%20rx%3D%221%22%20ry%3D%221%22%20transform%3D%22rotate(69.3%20-161.1%20463.8)%20scale(50.8482%2057.97738)%22%2F%3E%3Cpath%20fill%3D%22%23dedede%22%20fill-opacity%3D%22.5%22%20d%3D%22M304%20518.7l102-86.4L287%20386l-5.8%2069.8z%22%2F%3E%3Cpath%20fill%3D%22%23fff%22%20fill-opacity%3D%22.5%22%20d%3D%22M690.7-41.5L-41.5%208.3l372%20406.7%20397%2067.6z%22%2F%3E%3Cpath%20fill%3D%22%23fff%22%20fill-opacity%3D%22.5%22%20d%3D%22M1.3%201.3h286.8v603H1.3z%22%2F%3E%3C%2Fg%3E%3C%2Fsvg%3E)






[5] 

Answer :
x =
, (
,
), D = R, R = (
,
]
%27%20fill-opacity%3D%27.5%27%3E%3Cellipse%20fill%3D%22%23cdcdcd%22%20fill-opacity%3D%22.5%22%20rx%3D%221%22%20ry%3D%221%22%20transform%3D%22matrix(21.8228%20.32446%20-.79437%2053.42913%20408.5%20389.1)%22%2F%3E%3Cellipse%20fill%3D%22%23fff%22%20fill-opacity%3D%22.5%22%20rx%3D%221%22%20ry%3D%221%22%20transform%3D%22matrix(-206.99716%20-73.30154%20183.70072%20-518.75484%20172.4%20335.4)%22%2F%3E%3Cpath%20fill%3D%22%23dcdcdc%22%20fill-opacity%3D%22.5%22%20d%3D%22M402.6%20456.8l-14-69.7%2017.5-41%2036%2045.5z%22%2F%3E%3Cellipse%20fill%3D%22%23fff%22%20fill-opacity%3D%22.5%22%20rx%3D%221%22%20ry%3D%221%22%20transform%3D%22matrix(112.32015%205.03778%20-9.60357%20214.1173%20506%20205.2)%22%2F%3E%3C%2Fg%3E%3C%2Fsvg%3E)





