Transformations of Square Root Functions
What is the square root parent function?
sqrt(x)
Solve for x:
sqrt(x)=7
x=49
Simplify completely
sqrt(-7)
isqrt(7)
Simplify completely
(13-2i)+(-8+7i)
5+5i
What is
i^2?
-1
Describe the transformation from the square root parent function to
-sqrt(x-7)+2
Reflection across the x-axis
Shift right 7 units
Shift up 2 units
Solve for x:
sqrt(x-4)=12
x=148
Simplify completely
sqrt(12)
2sqrt(3)
Simplify completely
(2-9i)+(-10+8i)
-8-i
Describe the transformation from the square root parent function to
1/2sqrt(x+1)+1
Vertical compression of 1/2
Shift left 1 unit
Shift up 1 unit
Describe the transformation from the square root parent function to
1/3sqrt(x+4)+1
Vertical Compression of 1/3
Shift left 4 units
Shift up 1 unit
Solve for x:
sqrt(7x+50)-9=-1
x=2
Simplify completely
sqrt52
2sqrt(13)
Simplify completely
(1+7i)-(12-8i)
-11+15i
Solve for x:
3sqrt(x-5)+4=16
x=21
Describe the transformation from the square root parent function to
-2sqrt(x-1)+3
Reflection across the x-axis
Vertical Stretch of 2
Shift right 1 unit
Shift up 3 units
Solve for x:
6sqrt(x-4)+10=28
x=13
Simplify completely
sqrt(-169)
13i
Simplify completely
(-12+6i)-(-11+3i)
-1+3i
Simplify Completely
sqrt(-75)
5isqrt(3)
Describe the transformation from the square root parent function to
-5sqrt(x+7)-12
Solve for x:
sqrt(48-6x)=x-8
x=8
Simplify completely
sqrt(-512)
16isqrt(2)
Simplify completely
(-10-9i)(-3-2i)
12+47i
Simplify completely:
(-2-i)(12+8i)
-16-28i