NEW
Font size
WorksheetsInterpreting Quadratic Functions
Total questions: 30
Worksheet time: 56mins
What is the green dot on the parabola called?
vertex
y intercept
roots
zeros
Which of the following is true
The minimum value is -4
The minimum value is 4
The maximum value is -4
The maximum value is 4
A parabola is upside-down when a is:
negative
positive
0
a fraction or decimal
Which transformation transforms the graph of
y = x2 to the graph of
y = (x + 4)2?
a vertical translation 4 units up
a vertical translation 4 units down
a horizontal translation 4 units to the left
a horizontal translation 4 units to the right
Match the description to its equation:
shifts the parabola down 3
A
B
C
D
In the equation y=5(x+3)2-10 what does the 5 do?
Vertical stretch by 5
Horizontal compress by 5
Reflect in the x
Move up 5
How does the width of the graph y = 3/4 (x - 5)2 + 12 compare with the width of y =x2
wider
congruent
narrower
Which of the following statements is true for
y = -(x + 3)2 - 5
The parabola opens up and has a maximum value
The parabola opens down and has a maximum value
The parabola opens up and has a minimum value
The parabola opens down and has a minimum value
Stretches by a factor of 3
Moves up 2
Moves left 4
If the blue graph is
y= x2
then the red must be...
y = x2 - 5
y= x2 + 5
y = (x - 5)2
y = (x + 5)2
What transformations occurred to get y = x2, which is the red graph, to become the blue graph?
horizontal shift down and vertical shift left
horizontal shift left and vertical shift down
horizontal shift right and vertical shift up
horizontal shift up and vertical shift right
What transformations were done to y = x2 to make it become y = -1/5(x - 1)2 + 7 ?
reflection in the x axis, vertical compression, horizontal right, vertical up
vertical compression, horizontal shift left, vertical shift up
reflection in the x axis, horizontal shift right, vertical shift down
no changes were made to y = x2
Match the equation to its description.
Vertical Stretched by 2 and shifted up 4
Vertical Compressed by 2 and shifted up 4
Horizontal Stretched by 2 and shifted left 4
Horizontal Compressed by 2 and shifted right 4
Which equation has a vertex of (-5, 2)?
y = 2(x+5)2 + 2
y = (x+2)2 - 5
y = (x-5)2 + 2
y = 2(x - 2)2 + 5
What type of function is given in the table?
linear
quadratic
exponential
trigonometric
Which of the following would be the quadratic equation for a graph that has a step pattern of 3,9,15
y=2(x-5)2 + 7
y = -x2 + 2x -7
y =(x + 5)(3x +7)
y =(3x- 7)(3x + 7)
What would be the equation of the axis of symmetry for
y =2(x -3)2 + 7
x =2
x = 3
x = - 3
x = 7
What would be the coordinates of the zeros for
y = 2( x + 1)2 -2
( 0,0 ) and ( 0, 2)
( 0,0) and (-2,0)
( 0,0) and ( 0,-2)
( 0,0) and ( 2,0)
Which of the following statements is FALSE about y = -x2 + 7
The y intercept is at ( 0, 7)
The vertex is at (0,7)
The minimum value of 7
The equation of the axis of symmetry is x = 0
Which of the following equations is congruent to y = 2x2
y = (x + 7)2 - 6
y = 2x + 3
y = 2( x + 4)2 - 3
y = ( 2x + 3)(2x - 3)
Which of the following would you expect to be true for the table of values for every quadratic function
The first differences would be constant
The y values would increase by a fixed amount
The y values would always be negatives
The second differences would be constant
Which of the following statements is true for y = -3x2 + 9
The parabola opens down and has a maximum value of 9.
The parabola opens up and has a maximum value of 9.
The parabola opens down and has a minimum value of 9.
The parabola opens up and has a minimum value of 9.
What is the correct sequence to arrange the following equations in order from narrowest to widest
A) y = 0.25x2 - 3
B) y = 4( x+ 3)2 + 1
C) y = - ( x + 2)2 -7
D) y = 2x2 + 3x - 2
D, C, B, A
B, D, C, A
A, C, D, D
C, A, D, B
Which of the following points is on the graph y = x2
( 2, 1)
( -1, 0)
( 4, 12)
( -5, 25
