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inysia [295]
3 years ago
12

a function f(x) is described by the ordered pair (x,y). if given the function is translated 2 units to the right and then reflec

ted cross the x-axis, what are he ordered pairs that describe the transformed function?
Mathematics
1 answer:
OleMash [197]3 years ago
3 0
The ordered pairs would be (x-2, -y).

Translating a graph to the right subtracts the number of units from the x-coordinate.

Reflecting across the x-axis negates the y-coordinate.
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<h3><u>Let's</u><u> </u><u>understand the concept</u><u>:</u><u>-</u></h3>

Here angle B is 90°

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So we use Pythagoras thereon for solution

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According to Pythagoras thereon

{\boxed{\sf b^2=h^2-p^2}}

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\longrightarrow\sf b={\sqrt{100-64}}

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  • Now in \triangle ABD

Perpendicular=p=8cm

Base =b=15cm

  • We need to find Hypontenuse =AD(x)

According to Pythagoras thereon

{\boxed {\sf h^2=p^2+b^2}}

  • Substitute the values

\longrightarrow\sf h^2=8^2+15^2

\longrightarrow\sf h={\sqrt {8^2+15^2}}

\longrightarrow\sf h={\sqrt {64+225}}

\longrightarrow\sf h={\sqrt {289}}

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\therefore{\underline{\boxed{\bf x=17cm}}}

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