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S4 Quadratic Graph 二次圖像

Total questions: 23

Worksheet time: 28mins

Name
Class
Date
1.

Which are quadratic functions?

哪個是二次函數?

a)

y=x2+3x 2y=x^2+3x\ -2

b)

y = x2y\ =\ x^2

c)

y=-5x2

d)

y=4x+4

2.

At what point does the axis of symmetry intersect the quadratic graph?

在哪一點 ,對稱軸與二次圖像相交?

a)

The y-intercept. y截距

b)

The vertex. 頂點

(極大點/極小點)

c)

The x-intercept. x截距

d)

The maximum. 最大值

3.

What shape is the graph of a quadratic function?

二次函數的形狀是什麼?

a)

U shaped. U形

b)

V shaped. V形

c)

Linear. 線性

d)

C shaped. C形

4.

The name for the maximum or minimum point on a graph is?

最大點或最小點的名稱是?

a)

y-intercept y截距

b)

x-intercept x截距

c)

vertex 頂點

d)

axis of symmetry 對稱軸

5.

Does this graph have a maximum or minimum value?

此圖有最大值或最小值嗎?

a)

maximum 最大值

b)

minimum 最小值

c)

neither 沒有

d)

both 兩者皆是

6.

A line about which a figure is symmetric is the:

一條直線 令圖像對稱 稱之為:

a)

Solution 答案

b)

Vertex 頂點

c)

Quadratic Function 二次函數

d)

Axis of Symmetry 對稱軸

7.

What is the equation of the axis of symmetry?

對稱軸的方程是什麼?

a)

y = 4

b)

x = 4

c)

4

d)

None of the above 以上皆不是

8.

What is the Axis of symmetry?

對稱軸是什麼?

a)
Y=3
b)
x= 3
c)

3

d)

None of the above 以上皆不是

9.

Is there a max or min value?

最大值還是最小值?

a)

max 最大值

b)

min 最小值

c)

cannot be determined 無從判斷

10.

What divides the quadratic graph into 2 perfect halves?

什麼將二次圖像 分為完美的一半?

a)

Axis of Symmetry 對稱軸

b)

Vertex 頂點

c)

y intercept y截距

d)

x - intercept x 截距

11.

What are the coordinates of the vertex?

頂點坐標是什麼?

a)
(2, 4)
b)
(3, -1)
c)
(0, 8)
d)
(4, 2)
12.

What are the coordinates of the vertex?

頂點坐標是什麼?

a)
(0, - 1)
b)
(0, 0.5)
c)
(-1, 0)
d)
(0.5, 0)
13.

A quadratic graph has a vertex at (-3,2). What is the axis of symmetry?

二次圖像有一頂點(-3,2)。對稱軸是什麼?

a)
y = -2
b)
x = 3
c)
x = -3
d)
y = 2
14.

The vertex is

頂點為

a)

(1,1)

b)

(0,0)

c)

The origin 原點

d)

Don't know 不知道

15.

Axis of Symmetry

對稱軸

a)

y=0

b)

x = 0

c)

0

16.

What is the green dashed line called?

綠色虛線的名稱是?

a)

Vertex 頂點

b)

parabola 拋物線

c)

axis of symmetry 對稱軸

d)

y intercept y截距

17.

What are the coordinates of the y-intercept?

y截距的坐標是什麼?

a)

(-3, 0)

b)
(0, -3)
c)
(2, 1)
d)
y=-3
18.

How do you find the y-intercept of a quadratic equation?

如何找出二次圖像的 y截距?

a)

It is the y-value of the vertex. 頂點的y坐標。

b)

It is the x-value of the vertex. 頂點的x坐標。

c)

Plug a zero in for x. 代x=0

d)

Plug a zero in for y. 代y=0

19.

Given the quadratic graph yax2bxc, where a<0, b≠0, c>0, which of the following may be the graph?

已知二次圖像 yax2bxc,其中a<0、b≠0、c>0,則下列哪一個選項可能是此圖像?

a)
b)
c)
d)
20.

Which of the following quadratic graph has the vertex of(1,3)?

下列哪一個二次圖像的頂點坐標為(1,3)?

a)

y=(x+1)2-3 

b)

 y=(x-1)2-3

c)

y=(x+1)2+3

d)

y=(x-1)2+3

21.

For the description of the quadratic graph y=-2(x-3)2+5, which of the following is false?

關於二次函數 y=-2(x-3)2+5 的描述,下列何者為錯誤? 

a)

圖形開口向下,有最高點坐標(3,5) The graph open downwards, its max point is(3,5)

b)

對稱軸為直線 x=3 Axis of symmetry is the st. line x=3

c)

圖形與 x 軸沒有交點 There is no inteersection with x-axis

d)

函數值恆不大於 5 The function value will never exceed 5.

22.

Which of the quadratic graph has the axis of symmetry of x=-2?

下列哪一個二次圖像的對稱軸為 x=-2?

a)

y=(x+2)2+4 

b)

y=-(x-2)2+1

c)

y=x2-2 

d)

y=3(x-2)2

23.

Which of the following may be the quadratic graph of y=-2x2-1?

下列何者可能為二次函數y=-2x2-1的圖像?

a)
b)
c)
d)