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german
3 years ago
8

What was done to the linear parent function, f(x) = x, to get the functiong(x) = 1/6 x​

Chemistry
1 answer:
s2008m [1.1K]3 years ago
7 0

Answer:

Vertically Shrunk by a factor of 1/6

Explanation:

Parent Formula: f(x) = a(bx - c) + d

<em>a</em> - vertical shrink/stretch and x-reflections

<em>b</em> - horizontal shrink/stretch and y-reflections

<em>c</em> - horizontal movement left/right

<em>d</em> - vertical movement up/down

Since we are only modifying <em>a</em>, we are dealing with vertical shrink/stretch:

Since a < 1 (1/6 < 1), we are dealing with a vertical shrink of 1/6.

Since a > 0 (1/6 > 0), we do not have a reflection over the x-axis.

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HX (aq)    +     H₂O (l)  ⇄      H₃O⁺ (aq)    +     X⁻ (aq)  

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HX (aq) + H₂O (l)  ⇄   H₃O⁺ (aq) + X⁻ (aq)

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HX (aq) + H₂O (l)  ⇄   H₃O⁺ (aq) + X⁻ (aq)    Ka

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In this case, the anion will be the conjugate base which it takes a proton from water (acid form) to make a conjugate acid, the HX and a conjugate base, OH⁻

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