Quadratic
Square Root
Absolute Value
Cubic
Graphs
200
These are the transformations of the quadratic function
f(x)=(x+4)^2-1
What are left 4 and down 1?
200
These are the transformations of the square root function
f(x)=2sqrt(x+1)
What are vertical stretch by factor of 2 and left 1?
200
These are the transformations of the absolute value function
f(x)=|x-6|+3
What are right 6 and up 3?
200
This is the transformation of the cubic function
f(x)=(x-5)^3
What is right 5?
200
My function
y=x3
400
This is a quadratic function that has moved left 2 and up 5
What is
f(x)=(x+2)^2-5?
400
This is a square root function that has moved up by 16
What is
f(x)=sqrt(x)+16?
400
This is an absolute value function that has vertically stretched by a factor of 13
What is
f(x)=13|x|?
400
A cubic function that has stretched vertically by a factor of 4 and moved left 1
What is
f(x)=4(x+1)3?
400
Transformations from the parent function.
What is a vertical stretch of 4 and a horizontal shift right 3.
600
This is the transformation of the quadratic function
f(x)=5(x)^2
What is a vertical stretch by a factor of 5?
600
These are the transformations of the square root function
f(x)=sqrt(-7x)-7
What is a horizontal shrink by factor of 7 and reflection over y-axis and vertical shift down 7?
600
These are the transformations of the absolute value function
f(x)=-|7x|
What are reflection over x-axis and horizontal shrink by a factor of 7?
600
These are the transformations of the cubic function
y=(-3x-2)3+1
What are horizontal shrink by 3 and reflection over y-axis, horizontal shift right 2 and vertical shift up 1?
600
My parent function.
What is squareroot or
y=sqrtx
800
This is a quadratic function that has vertically stretched by a factor of 4 and reflected over the x-axis and moved vertically down 3
What is
f(x)=-4x^2 + 3
800
A square root function that has reflected over the x and y-axes, shifted horizontally left 4 and vertically up 3
What is
f(x)=-sqrt(-x+4)+3?
800
This is an absolute value function that has been shrunk vertically by a factor of 1/9
What is
f(x)=1/9|x|?
800
My function
This is a cubic function that has been reflected over the x-axis, compressed horizontally by a factor of 7, shifted left 5 and up 3
800
John says the graph below has been vertically stretched by a factor of 8, reflected over the y axis and shifted right 4. What is/are his mistake(s)?
What is it has been compressed not stretched and it has shifted left 4 not right.
1000
These are the transformations of the quadratic function
f(x)=-1/3(x+5)^2-8
What are vertical shrink by factor of 1/3, a reflection over the x-axis, left 5 and down 8?
1000
These are the transformations of the square root function
f(x)=-12sqrt(x-6)+3
What are reflection over x-axis, vertical stretch by 12, right 6 and up 3?
1000
These are the transformations of the absolute value function
f(x)=-|x-3|+10
What are reflection over x-axis, right 3, and up 10?
1000
These are the transformations of the cubic function
f(x)=1/2(-1/7x-5)^3-2
What are vertical shrink by a factor of 1/2, reflection over y-axis, a horizontal stretch by a factor of 1/7, left 5 and down 2?
1000
The function for the graph below:
What is
f(x)=-2|x-3|+7