Solving Square Root Equations, Graphing Square Root Functions, Transformations of Square Root Functions, Domain and Range

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HORIZONTAL SHIFT LEFT 6

Describe the transformation from the square root parent function:

HORIZONTAL SHIFT RIGHT 7; VERTICAL SHIFT DOWN 1

Describe the transformation from the square root parent function:

REFLECT ACROSS X-AXIS; VERTICAL COMPRESSION BY 1/4

Describe the transformation from the square root parent function:

REFLECT OVER Y-AXIS; VERTICAL SHIFT DOWN 3

Describe the transformation from the square root parent function:

VERTICAL STRETCH BY 2; HORIZONTAL SHIFT LEFT BY 6

Describe the transformation from the square root parent function:

VERTICAL COMPRESSION BY (1/4), HORIZONTAL SHIFT LEFT BY 1, AND VERTICAL SHIFT DOWN 5

Describe the transformation from the square root parent function: f(x) = (1/4)√(x + 1) - 5

REFLECT ACROSS X-AXIS, HORIZONTAL SHIFT RIGHT 3, AND VERTICAL SHIFT DOWN 1

Describe the transformation from the square root parent function: f(x) = - √(x-3) - 1

VERTICAL COMPRESSION BY (1/3), HORIZONTAL SHIFT RIGHT 1, AND VERTICAL SHIFT UP 5

Describe the transformation from the square root parent function: f(x) = 1/3 √(x-1) + 5

VERTICAL SHIFT UP BY 2

Describe the transformation from the square root parent function: f(x) = √(x) + 2

HORIZONTAL SHIFT LEFT BY 3 ;VERTICAL SHIFT DOWN 6

Describe the transformation from the square root parent function: f(x) = √(x+3) - 6

HORIZONTAL SHIFT LEFT BY 4; VERTICAL SHIFT DOWN 3

Describe the transformation from the square root parent function: f(x)= √(x + 4) - 3

HORIZONTAL SHIFT LEFT BY 3; VERTICAL SHIFT DOWN 4

Describe the transformation from the square root parent function: h(x) = √(x + 3) - 4

HORIZONTAL SHIFT LEFT BY 5; VERTICAL SHIFT UP 3

Describe the transformation from the square root parent function: h(x) = √(x + 5) + 3

HORIZONTAL SHIFT RIGHT 5; VERTICAL SHIFT UP 3

Describe the transformation from the square root parent function: h(x) = √(x - 5) + 3

REFLECTION ACROSS THE X-AXIS

Describe the transformation from the square root parent function: y=-√(x)

REFLECTION ACROSS THE Y-AXIS

Describe the transformation from the square root parent function: y=√(-x)

HORIZONTAL SHIFT LEFT 2

Describe the transformation from the square root parent function: y=√(x + 2)

VERTICAL SHIFT 5 UNITS DOWN

Describe the transformation from the square root parent function: y=√(x) - 5

D: x ≥ -5; R: y ≤ 3

FIND DOMAIN AND RANGE OF f(x) = -√(x + 5) + 3

D: x ≥ -6; R: y ≤ 3

FIND DOMAIN AND RANGE OF f(x) = -√(x + 6) + 3

D: x ≤ 5; R: y ≥ 3

FIND DOMAIN AND RANGE OF f(x) = √(-x + 5) + 3

D: x ≤ 6; R: y ≥ 3

FIND DOMAIN AND RANGE OF f(x) = √(-x + 6) + 3

D: x ≥ 4; R: y ≥ 3

FIND DOMAIN AND RANGE OF f(x) = √(x - 4) + 3

D: x ≥ 5; R: y ≥ 3

FIND DOMAIN AND RANGE OF f(x) = √(x - 5) + 3

]f(x) = √(x-2) + 3

Match this graph with its equation :

f(x) = -√(x+2) - 3

Match this graph with its equation :

f(x) = -√(x-3)

Match this graph with its equation :

f(x) = 2√(x+3)

Match this graph with its equation :

f(x) = 3√(x+2)

Match this graph with its equation :

f(x) = ½√(x) + 3

Match this graph with its equation :

f(x) = √(-x+2) - 3

Match this graph with its equation :

f(x) = √(-x-2) - 3

Match this graph with its equation :

f(x) = √(x+2) + 3

Match this graph with its equation :

f(x) = √(x+2) - 3

Match this graph with its equation :

f(x) = √(x-2) - 3

Match this graph with its equation :

f(x)=√(-x-3) - 2

Match this graph with its equation :

x = 4

Solve: -6√(x-4) = 0

x = -4

Solve: 2+√(-8-2x) = 2

x = 10

Solve: 3 = √(x-1)

No solution

Solve: 4 + √(-3x+10)=x

x = 28

Solve: 5 = √(x-3)

x = 9

Solve: x = 5 +√(3x-11)

x = 2, 5

Solve: √(-10+7x) = x

x = 16

Solve: √(18-x) = √(x/8)

x = 8

Solve: √(2x-6) = √(3x-14)

x = 7

Solve: √(56-x) = x

x = 0, 8

Solve: √(8x) = x

x = -1

Solve: √(9-x) = √(1-9x)


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