WorksheetsIntroduction to Quadratics
Total questions: 23
Worksheet time: 1hrs 17mins
Which transformation transforms the graph of
f(x) = x2 to the graph of
g(x) = (x + 4)2?
a vertical shift 4 units up
a vertical shift 4 units down
a horizontal shift 4 units to the left
a horizontal shift 4 units to the right
How did we transform from f(x) =x2
to
g(x) = -3x2
reflection over x-axis and vertical shift down 3 units.
reflection over x-axis and vertical stretch by a factor of 3.
horizontal stretch by a factor of 3.
reflection over x-axis and vertical compression by a factor of 3.
How did we transform from the parent function?
g(x) = -1/5(x - 1)2 + 7
reflection across the x-axis, vertical compression by a factor of 1/5, horizontal shift right 1, vertical shift up 7.
vertical compression by a factor of 1/5, horizontal shift left 1, vertical shift up 7
reflection across the x-axis, horizontal shift right 1, vertical shift down 7
no changes were made to y = x2
Which transformation transforms the graph of
f(x) = x2 to the graph of
g(x)=5(x+3)2-10?
Vertical stretch by a factor of 5, right 3, down 10.
Vertical stretch by a factor of 5, left 3, down 10.
Reflect across the x-axis, vertical stretch by a factor of 3, up 5, left 10.
Horizontal stretch by a factor of 5, left 3, down 10.
Which transformation transforms the graph of
f(x) = x2 to the graph of
g(x) = -(x + 3)2 - 5?
left 5, up 3, reflect across the x-axis
reflect across the x-axis, left 3, down 5.
Left 3, vertical stretch by a factor of 5,
Reflect across the x-axis, right 3, down 5
Which transformation transforms the graph of
f(x) = x2 to the graph of
g(x) = 3/4 (x - 5)2 + 12 ?
reflection by a factor of 34
left 5, up 12, and a horizontal compression by a factor of 3/4
Vertical compression by a factor of 3/4, right 5, and up 12
Which transformation transforms the graph of
f(x) = x2 to the graph of
gf(x) = -x 2 -11
Down 11 and reflected across the x-axis.
Reflect across the y-axis and up 11.
down 11
up 11
Which transformation transforms the graph of
f(x) = x2 to the graph of
g(x) = -2 (x +10)2 ?
Reflect across the x-axis, vertical stretch by a factor of 2, right10.
Reflect across the x-axis and left 10.
Reflect across the x-axis, vertical stretch by a factor of 2, up 10.
Reflect across the x-axis, vertical stretch by a factor of 2, left 10.
Which transformation transforms the graph of
f(x) = x2 across the x-axis, left 3 and down 5.
g(x) = -(x + 3)2 - 5
g(x) = (x - 3)2 - 5
f(x) = -(x + 5)2 + 3
What is the axis of symmetry in the function f(x) = (x-1)2 +2
x = 1
x = -1
x = 2
x = -2
Identify the vertex of f(x) = -2(x+1)2 + 3
(-2,3)
(3, 1)
(-1,-3)
(-1,3)
Does the function y = (x+2)2 have a maximum or minimum?
Maximum
Minimum
Both
Neither
What steps transform the graph y = x2 to y = 2(x+2)2 - 5?
Vertical Compress by 2, shifted 2 units left and 5 down
Vertical Stretch by 5, shifted 5 units left and 2 down
Vertical Stretch by 2, shifted 2 units left and 5 down
Vertical Compress by 5, shifted 2 units left and 2 down
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
Which of the following statements about the function j(x) = -2(x + 3)2 + 9 is FALSE?
The function j(x) is shifted up 9 units compared to the parent function
The function j(x) is narrower than the parent function
The function j(x) is shifted right 3 units compared to the parent function
The function j(x) is reflected across the x-axis compared to the parent function
Which of the following shows a vertical stretch of the parent function?
y = -5x2
y = -x2
y = 2/5x2
y = -3/4x2
The graph of which equation would be a reflection of the parent function and a vertical compression by a factor of 1/2?
y = -1/2x2
y = 2x2
y = (1/2x)2
y = -x2
Which equation would be a horizontal compression by a factor of 1/7.
g(x)=(1/7x)2
g(x)=(7x)2
g(x)=7x2
g(x)=1/7x2
What are the transformation from the parent function f(x)=x2, g(x)=1/2(x + 3)2+8?
Vertical compression by a factor of 1/2, right 3, up 8.
Vertical compression by a factor of 1/2, right 8, up 3.
Vertical compression by a factor of 1/2, left 3, up 8.
Vertical stretch by a factor of 1/2, left 3, up 8
Which quadratic function represents the following transformations, up 5, left 4, vertical stretch by a factor of 2 and reflected across the x-axis.
y = 2(x - 4)2 + 5
y = 2(x + 4)2 + 5
y = -2(x - 4)2 + 5
y = -2(x + 4)2 + 5
Which quadratic function represents the following transformations, horizontal stretch by a factor of 3 and a vertical translation down 7.
g(x)=3x2-7
g(x)=(3 x)2-7
g(x)=1/3 x2 -7
g(x)=(1/3 x)2-7
