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Naddik [55]
2 years ago
12

(x+4)(2x+3)(-x-9)=f(x) find the zeros

Mathematics
1 answer:
Sonbull [250]2 years ago
6 0

9514 1404 393

Answer:

  x = {-9, -4, -3/2}

Step-by-step explanation:

The zeros are the values of x that make the factors zero. (If a factor is zero, the product will be zero.)

<u>x+4 = 0</u>

  x = -4 . . . . subtract 4

<u>2x+3 = 0</u>

  2x = -3 . . . . subtract 3

  x = -3/2 . . .  divide by 2

<u>-x-9 = 0</u>

  -9 = x . . . . add x

__

The zeros are ...

  x = {-9, -4, -3/2}

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How does the graph of g(x)=x+4 compares with the graph of the parent function, f(x)=x?
irakobra [83]

The graph of g(x) is shifted 4 units up ⇒ answer a

Step-by-step explanation:

Let us revise the translation

  • If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)  
  • If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)  
  • If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k  
  • If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k  

∵ The parent function f(x) = x

∵ g (x) = x + 4

- Substitute x in g(x) by f(x)

∴ g(x) = f(x) + 4

- g(x) is f(x) add by 4

- by using the rule of translation above

∵ g(x) = f(x) + k

∵ k = 4

∴ g(x) is the image of f(x) after translation 4 units up

∴ The graph of g(x) is 4 units above the graph of f(x)

The graph of g(x) is shifted 4 units up

Learn more:

You can learn more about translation in brainly.com/question/2451812

#LearnwithBrainly

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