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3 years ago

Write an equation for a translation of the parent function y = |x| to translate it 7 units left.

Mathematics

1 answer:

hoa [83]3 years ago

4 0

9514 1404 393

Answer:

B. y = |x +7|

Step-by-step explanation:

The translations represented by the answer choices are ...

A. up 7 units

B. left 7 units . . . . the choice we want

C. right 7 units

D. down 7 units

___

In general, the effects of adding things to x and y are summarized by ...

y = f(x -a) +b . . . . . . . . translation right 'a' units, up 'b' units

Translations left or down are accomplished by using negative values for 'a' and/or 'b.

We want translation 7 units left, so a=-7 and b=0

y = |x| ⇒ y = |x -(-7))| or y = |x+7|

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iren2701 [21]

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Step-by-step explanation:

$\underline{ \underline{ \text{Given}}} :$

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$\underline{ \underline{ \text{To \: find}}} :$

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$\underline{ \underline{ \text{Using \: pythagoras \: theorem}}} :$

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⤑ $\sf{ \sqrt{36}}$

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$\pink{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline { \tt{6 \: units}}}}}}}$

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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