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2 years ago

(44/5 ÷ 3 5/7) – (11/3)2

Mathematics

2 answers:

qwelly [4]2 years ago

5 0

Answer:

Step-by-step explanation:

jeyben [28]2 years ago

4 0

Answer:

2x(0z - 12)

Step-by-step explanation:

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Transformation involves changing the size and location of a function.

$\mathbf{y = 2|x - 6|}$ is produced by a vertical stretch, and a horizontal shift left.

An absolute function is represented as:

$\mathbf{y = a|x - h| + k}$

The parameters are represented as:

$\mathbf{(h,k) = (6,0)}$ --- vertex

$\mathbf{(x,y) = (8,4)}$ --- point

Substitute $\mathbf{(h,k) = (6,0)}$ and $\mathbf{(x,y) = (8,4)}$ in $\mathbf{y = a|x - h| + k}$

$\mathbf{4 = a|8 - 6| + 0}$

$\mathbf{4 = a|8 - 6|}$

$\mathbf{4 = a|2|}$

Remove absolute brackets

$\mathbf{4 = a \times 2}$

Divide both sides by 2

$\mathbf{a= 2}$

Substitute $\mathbf{a= 2}$ and $\mathbf{(h,k) = (6,0)}$ in $\mathbf{y = a|x - h| + k}$

$\mathbf{y = 2|x - 6| + 0}$

$\mathbf{y = 2|x - 6|}$

The parent function of an absolute function is:

$\mathbf{y = |x|}$

A right translation is represented as:

$\mathbf{y = |x - h|}$

And a vertical stretch is represented as:

$\mathbf{y = a|x - h|}$

Hence,

$\mathbf{y = 2|x - 6|}$ is produced by option (d)