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describe the transformations of the following functions from their parent function​

Describe The Transformations Of The Following Functions From Their Parent Function class=

Sagot :

Answer:

see explanation

Step-by-step explanation:

22

- [tex]\sqrt{x}[/tex] is a reflection of [tex]\sqrt{x}[/tex] in the x- axis

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus

g(x) = - [tex]\sqrt{x}[/tex] - 4

is a reflection in the x- axis, followed by a vertical translation 4 units down

23

Given f(x) then f(x + a) is a horizontal translation of f(x)

• If a > 0 then a shift left of a units

• If a < 0 then a shift right of a units

Thus

h(x) = [tex]\sqrt[3]{x+1}[/tex] + 5

is a horizontal translation 1 unit left and a vertical translation of 5 units up

Answer:

22

- \sqrt{x}

x

is a reflection of \sqrt{x}

x

in the x- axis

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

Thus

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