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kozerog [31]
3 years ago
8

Use the parent function f(x) = x2 to fill in the blanks.

Mathematics
1 answer:
krek1111 [17]3 years ago
5 0

Answer:

a) reflection across the x-axis

b) f(x) =( x-3)²

c) f(x) = x² + 6 is a vertical taranslation up by '6' units

Step-by-step explanation:

<u>Explanation</u>

Given that the parent function

              f(x) = x²

a) f(x) = x² is rotation across the x-axis then the new function

<em>  f(x) = - x²</em>

b) ) f(x) = x² is a horizontal translation right by '3' units then the function is changes to <em>f(x) = (x-3)²</em>

c)  

f(x) = x² is a vertical translation up '6' units then the function is changes to <em>f(x) = x² +6   </em>

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The inverse function of the function f(x) will be f⁻¹(x) = 4x + 48. Then the correct option is D.

The complete question is attached below.

<h3>What is inverse of a function?</h3>

Suppose that the given function is

f: X → Y

Then, if function 'f' is one-to-one and onto function (a needed condition for inverses to exist), then, the inverse of the considered function is

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It simply means, inverse of 'f' is an undo operator, that takes back the effect of 'f'

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Then the inverse function of the function f(x) will be

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P(x = 5) = 6 × 0.61× 0.39^5 = 0.033

3 0
3 years ago
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