Transformations of Square Root Functions Pt.1
What is the square root parent function?
sqrt(x)
How is
sqrt(x+2)-3
being transformed?
shifted 2 units left and 3 units down.
Simplify
(x)^2
x^2
Solve
sqrt(7x+1)-8=-2
x=5
What do you use to factor a trinomial
(ax^2+bx+c)
?
X-games and Box method
How is
sqrt(x)-12
being transformed?
Shifted down 12 units
What was Mateo for Halloween?
Chicken!
Simplify
(x-1)^2
x^2-2x+1
Solve:
sqrt(6x-32)+17=21
x=8
What goes on top of the x-games?
a times c
How is
sqrt(x)+2
being transformed?
Shifted up 2 units
How is
1/2sqrt(x-1)-3
being transformed.
Vertical Compression of 1/2, shifted right 1 unit and down 3
Simplify
(x-3)^2
x^2-6x+9
Solve
sqrt(4x+25)-5=-2
x=-4
What goes on the bottom of the x-games?
b
How is
sqrt(x-7)
being transformed?
Shifted right 7 units
How is
-5sqrt(x+8)+2
being transformed?
Reflected across the x-axis
Vertical Stretch of 5
Shift left 8 units and up 2 units
Simplify
(x+7)^2
x^2+14x+49
Solve
sqrt(4x+1)+8=11
x=2
Factor
x^2+2x-3
(x-1)(x+3)
How is
sqrt(x+8)
being transformed?
Shifted left 8 units
How is
sqrt(-1/8x)+1
being transformed?
Reflection across the y-axis
horizontal stretch and shifted up 1 unit
Simplify
(x-9)^2
x^2-18x+81
Solve
6sqrt(x-4)+10=28
x=13
Solve
sqrt(x+12)=x+6
x=-3