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Worksheetsfhgj
Total questions: 199
Worksheet time: 7hrs 6mins
Match the following
y=2x2
y=x2−6
y=(x+2)2
y=−5x2
y=(x−3)2
Match the following
y=41x2
y=x2+4
y=(x−2)2+3
y=2x2
y=(x−3)2
y=4x2
y=−x2+2
y=(x−4)2
y=(x−4)2+1
y=21(x−1)2
y=−(x−3)2
y=−(x−3)2+5
y=21(x+1)2
y=5x2+1
y=2x2+1
y=−2(x−4)2+5
y=−(x+1)2−1
y=−2(x+1)2
y=31x2−1
x2−4x+3
x2+4x+4
x2−8x+12
x2−12x+20
x2+20x+100
x2+6x+15
3x2+6x−2
x2−6x
x2−9
x2+4
x2+8x
−4x2+8x+6
Make the graph of
y=x2−2x−4
Make y=−x2+4
Make y=(x−4)2−3
What is the axis of symmetry of y=x2
x=1
x=0
x=2
x=−1
Find axis of symmetry of y=x2+7
x=0
x=1
x=2
x=−1
What is the axis of symmetry of y=−(x+4)2
x=0
x=4
x=−4
x=2
Which of the following is the correct graph for y=(x−3)2
None of these
What is the correct equation for the given graph?
y=x2−3
y=x2−2
y=(x−3)2
y=(x−2)2
Compared with the graph of y=x2 , the graph of y=x2+3 is translated__________
left
right
up
down
Compared with the graph of y=x2 , the graph of y=(x−3)2 is translated________
left
right
up
down
Match the equation to its description.
y=(x−2)2+2
Right 2 and up 2
Left 2 and up 2
Right 2 and down 2
Left 2 and down 2
Which transformation maps the graph of y=x2
to the graph of y=(x+4)2
a reflection across the x-axis
4 units up
4 units to the left
4 units to the right
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
Is this graph a maximum or minimum?
(a)
What is the vertex of this quadratic graph?
(a)
This graph is a (a)
This graph is a (a)
What are the solutions to this quadratic graph?
(a)
What are the x-intercepts of the given quadratic graph?
(a)
Which description best fits the transformation of f(x)=x2 into
f(x)=−21x2 ?Opens down and is narrow
Shifted down and is wider
Shifted down and is Narrow
Opens down and is wider
Which of the following equations best fits the graphs of the transformed function shown in red?
f(x)=x2 is shown in black.f(x)=−3x2
f(x)=31x2−1
f(x)=31(x−1)2
f(x)=3(x−1)2
If the blue graph is
f(x) = x2
then the red must be...
g(x) = x2 - 5
g(x) = x2 + 5
g(x) = (x - 5)2
g(x) = (x + 5)2
How did we transform from f(x) =x2
to
g(x) = -3x2
reflection in x-axis and vertical shift down
reflection in x-axis and vertical stretch
horizontal stretch
reflection in x-axis and vertical compression
f(x) = x2 to the graph of
g(x) = (x + 4)2?
f(x) = x2 to the graph of
g(x) = (x + 4)2?
f(x) = x2 to the graph of
g(x) = (x + 4)2?
f(x) = x2
the red must be...
y= 5(x - 5)2 + 3
What is the green dashed line called?
roots or x-intercepts
parabola
axis of symmetry
vertex
What are the green dots called? (Choose ALL that apply.)
solutions
axis of symmetry
zeroes
roots
y-intercepts
What are the transformations?
y=(x-2)2+4 (Choose ALL that apply.)
Horz shift right 2
Horz shift left 2
Vert shift up 4
Vert shift down 4
What is the maximum point of this parabola?
(3, 5)
(5, 3)
(5, 0)
(1, 0)
What is the minimum point of this parabola?
(0, 7)
(2, 3)
(-2, 3)
(3, 5)
When you throw a basketball through the air, the path it follows is a parabola. The parabola opens...
UP
DOWN
Select the x-intercepts of this graph.
(0, 6)
(-2, 0)
(-5, 0)
(-4, -2)
What is the equation for the axis of symmetry?
x = 3
y = 3
y = 5
x = 5
What is the equation for the axis of symmetry?
x = 2
x = -2
x = 3
y = 7
f(x) = x2 to the graph of g(x) = (x + 4)2?
Moves up 2
Moves left 4
Moves right 7
- moves down 3
Given f(x) = (x + 3)² , how did we transform from the parent function?
Horizontal shift left 3
Vertical shift up 3
Horizontal shift right 3
Vertical shift down 3
Given f(x) = x² - 4 , how did we transform from the parent function?
Horizontal shift left 4
Vertical shift up 4
Horizontal shift right 4
Vertical shift down 4
Which transformation maps the graph of
f(x) = x2 to the graph of g(x) = (x + 4)2?
a reflection across the x-axis
4 units up
4 units to the left
4 units to the right
How many x-intercepts does this parabola have?
0
1
2
none of the above
What is the name of the point where the parabola crosses the y-axis?
Zero
Solution
y-intercept
x-intercept
What are the x-intercepts of this parabola?
(1, 0) and (5, 0)
(-5, 0)
(3, 0) and (4, 0)
(0, 0) and (5, 0)
What is the vertex?
(5, 0)
(3, 4)
(1, 0)
(0, 0)
Find the graph of the equation:
y = x2 + 2x
Find the graph of the equation:
y = (x + 2)2 - 1
What is the vertex of this quadratic equation?
y = 2(x + 2)2 + 4
(-2,4)
(2,4)
(4,-2)
(-4,-2)
What is the maximum/minimum of a parabola called?
vertex
point
top
bottom
The axis of symmetry is a line that goes through the...
y-intercept
any random point
vertex
x-axis or y-axis
What is the vertex of this quadratic equation?
y = 2(x + 2)2 + 5
(-2,5)
(2,5)
(5,-2)
(-5,-2)
f(x)=(x - 10)(x + 10)
Where is the axis of symmetry?
f(x)=(x - 10)(x + 10)
How will the graph of the equation y =6x2 differ from the graph of the equation y = x2 ?
Narrower
Wider
Upside down and Narrower
Upside down and Wider
How will the graph of the equation y = 41x2 differ from the graph of the equation y = x2 ?
Narrower
Wider
Upside Down and Narrower
Upside Down and Wider
Match the graph with the quadratic rule
y =x2 −4
y = 2x2
y =(x + 1)2
y = (x − 3)2
Match the graph with the quadratic rule
y = x2 −4
y = 2x2
y = (x + 1)2
y = −x2 + 2
State the transformation that takes y = x2 to y = −(x −3)2
Translate 3 units up
Reflect in x-axis and translate 3 units down
Reflect in x-axis and translate 3 units right
Reflect in x-axis and translate 3 units left
State the y-intercept and turning point of the quadratic rule y = (x−1)2 +3
4 and (1,3)
3 and (1,3)
3 and (-1,3)
2 and (-1,3)
y = -2x2
have a maximum or minimum value?
y = 2(x - 2)2 + 5
If a parabola has a vertex at (0, 3), what is the axis of symmetry.
y = 3
x = -3
y = 0
x = 0
Using the graph determine which conclusion is FALSE?
Define Y-intercept
Where the parabola touches or intersects the x-axis, also called the x-intercept
The lowest y-value on the graph
The highest y-value on the graph
Where the parabola touches or intersects the y-axis
Define X-intercept
The highest or lowest point on the graph
Where the parabola touches or intersects the x-axis
Where the parabola touches or intersects the y-axis
A line that divides the graph into two equal parts. i.e. cuts the graph in half
What is the equation of the axis of symmetry?
y = 0
x = 0
x = 3
x = -3
What are the roots for this quadratic equation?
(0,0)
(0,0) and (0,4)
(0,0) and (4,0)
(0,0) and (-4,0)
What is the formula for this quadratic equation?
y = 2(x - 2)2 + 5
y = -(x + 2)2 + 4
y = -(x - 2)2 + 4
y = (x + 2)2 + 4
f(x) = x2- 8x + 15.
Find the axis of symmetry of y=x2+16x+71
x=8
x=−8
x=16
x=−16
Find the axis of symmetry of
y=x2−2x−5
x=2
x=−2
x=1
x=−1
What is the vertex of this quadratic equation?
y = 2(x + 2)2 + 5
(-2,5)
(2,5)
(5,-2)
(-5,-2)
What steps transform the graph y = x2 to y = x2 + 8
shifted up 8 units
shifted down 8 units
shifted left 8 units
shifted right 8 units
What steps transform the graph y = x2 to y = (x - 4)2
Shifted down 4 units
Shifted left 4 units
Shifted right 4 units
Shifted up 4 units
f(x) = x2
the red must be...
The equation of red graph is y = x2. What is the equation of the blue graph?
y = x2 + 5
y = x2 - 5
y = (x - 5)2
y = (x + 5)2
The graph of y = x2 + 1 could be?
y=x2-3x-4
What is the axis of symmetry for the equation f(x) = 3x2 - 18x + 23
x = -3
x = 9
x = 3
x = -9
Which is the vertex of y = x2+ 16x + 71 ?
V(-8, 7)
V(-8, 3)
V(8, 10)
V(16, -2)
Y = -3x2 +7x - 2
f(x) = -x2 - 4x + 12.
y = 2(x - 2)2 + 5
y=(x+4)(x-7)
Which graph represents the following equation: y=−x2−2x+3
What is the name given to the point
(1 , 0)?
A) just a plain point
B) root
C) y-intercept
D) vertex
