Mid-Term Exam Paper
Multiple Choice(34’)
1、Identify the vertex and the y-intercept of the graph of the function y=(x+2)2-2. ( )
(a)vertex: (2, 2); y-intercept: 8 (b)vertex: (2, –2); y-intercept: 6
(c)vertex: (–2, –2); y-intercept: 6 (d)vertex: (–2, 2); y-intercept: 2
2、The point who coordinates are (3, -5) is in ...( )
(a)quadrant II (b)at the origin (c)quadrant III (d)quadrant IV
3、In the figure below the graph could reprent:( )
长沙好玩的地方(a)y = -(x - 2)2 + 1 (b) y = -(x - 1)2 + 2 (c)y = (x - 2)2 + 1 (d)y = -(x + 2)2 + 1
3、Which of the following transformations does not result in a congruent figure? ( )
(a) dilation (b)reflection (c)rotation (d) translation
4、Write a description of the rule (x, y)→(x +10, y+8). ( )
(a) translation 10 units to the right and 8 units up
(b) translation 10 units to the left and 8 units down
(c) translation 10 units to the right and 8 units down
(d) translation 10 units to the left and 8 units up
5、What is the axis of symmetry of the graph of y=x²-8x+12?( )
(a)x = 2 (b)x = 4 (c)x = 6 (d) x = 8
6、What transformations made figure 2 the image of figure 1?( )
(a) dilation, translation (b)rotation, reflection (c)dilation, reflection (d)reflection, translation
7、The point P(2, −3) is rotated about the origin through an angle of 90° in an anti-clockwi direction. What are the coordinates of the image P?( )
(a)(3, 2) (b) (2, 3) (c) (−3, 2)(d) (3, −2)
8、Which of the following functions would not have a parabola for its graph?( )a开头的英语单词
(a)y+9=(x-3)2 (b)y=(x-3)(x+3) (c)y=x(4-x) (d)y2+x=9
9、Triangle ABC is an enlargement of triangle ADE with scale factor 2.If the area ABC = 36 cm2, then the area of ADE in cm2 is( ).
(a) 4 (b)12 (c) 9 (d)18
10、Which function has a graph which is an inverted (upside down) parabola?( ) .
(a)y = 1 + x2 (b) y = 1 - x2 (c) y = x2 -1 (d)-y = 1 - x2
11、The graph of y = x2 - 8x + 12 has a y-intercept of ( ).
(a)2 (b)-8 (c)12 (d)6
12、Find the value of x. The diagram is not to scale.( )
(a)86 (b)72 (c)36 (d) 62干烧武昌鱼
13、A blueprint for a hou has a scale of 1 : 10. A wall in the blueprint is 9 in. What is the length of the actual wall? ( )
(a)1,080 feet (b)7.5 feet (c)7.5 in. (d)90 feet
14、Which of the following is clost to the definition of a reflection? ( )
(a)A transformation the stretches or shrinks a figure horizontally and vertically.
(b)An image formed by flipping a figure a figure over a line.
(c)A transformation where a figure is turned around a fixed point.
(d)Every point of a figure moves the same distance in one or two directions
15、Which of the following is NOT invariant under a dilation?( )
(a) Angle measure (b)Orientation (c)Distance (d)Parallelism
16、Which of the following functions has a parabola for its graph?( )
(a)y + 2x = 1 (b)y = 2x + 5 (c)y = 2x2 - 6x (d)y2 = - 2x2 + 6
17、Which reprents the quadratic function y =-2(x+2)(x-1) in standard from?( )北辰星拱
(a)y =-2x2+4 (b) y =-2x 2-2x-4 (c) y =-2x 2-2x+4 (d) y =-2x 2 + 2x + 4 Determine the following information and sketch the graph of the given function.(16’)
y=2x2+8x+9
1)Direction of Opening: ________________________
退团年龄
2)Equation of the Axis of Symmetry: ________________________
3)Vertex: ________________________
4)Maximum or Minimum Value:________________________
5)Number of x-intercepts: ________________________
6)Y-Intercept:________________________
7)Domain: ________________________
8)Range:________________________
尼组词组Find the coordinate of the image after the stated transformation.(8’)
1) Translation (x,y)→(x-3,y-6)；
2) Dilation by scale factor 5
4；
3) Reflection in the line y=x ；
4) Rotation 270°counterclockwi about the origin
Reflect a shape in a given line. Click on coordinates to draw your image.(16’)
电磁炉能炒菜吗
Draw the reflection of the shape in the y axis. Draw the reflection of the shape in the x axis
花开美丽
Draw the reflection of the shape in y = -1 Draw the reflection of the shape in x = -1
Draw the reflection of the shape in y = x Draw the reflection of the shape in y = -x
Graph:(16’)
(1)()2432-+=x y (2)5322--=x x y (3)()()32---=x x y
Solve each quadratic equation:(12’)
