3 years ago

Which functions are decreasing? Select ALL answers that are correct.

Mathematics

2 answers:

adoni [48]3 years ago

6 0

Among all the diagrams, Function 1 and 4 is decreasing

Hope this helps!

Ne4ueva [31]3 years ago

4 0

1. 2. 1 and 3 are decreasing

3. 4.

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KiRa [710]

Alright, so we plug (-2) in for x. (-2)^2 =4, and we can plug that in as 4(4)+(-2)+5. Next, 4*4=16, so we get 15+(-2)+5. After that, we get 15-2+5=18

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3 years ago

The function f(x)=3 (x+6)^2+8 is shifted 4 units up and 3 units right to form another function g(x). What is g(x)?

iVinArrow [24]

Answer:

$g(x) = 3\cdot (x+3)^{2}+12$

Step-by-step explanation:

There are two operations involved:

Vertical translation:

$f'(x) = f(x) \pm c,\,c\in \mathbb{R}$ (1)

Note: Positive sign represent a translation upwards.

Horizontal translation:

$f'(x) = f(x\pm c), x\in \mathbb{R}$ (2)

Note: Positive sign represent a translation leftwards.

Then, the new function must be:

$g(x) = f(x-3)+4$

$g(x) = 3\cdot (x+3)^{2}+12$

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Choose the inequality that could be used to solve the following problem.

hjlf

Hmm, I think your answer would be 3x ≥ -6

Let me know if this helps!

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