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Triss [41]
3 years ago
11

What is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)​

Mathematics
1 answer:
miv72 [106K]3 years ago
8 0

9514 1404 393

Answer:

  x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

  x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

  x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.

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Y is equal to the additive inverse of 4x. Use this information to find the value of the expression 17x + 3y in terms of x.
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Answer:

<h3>5x</h3>

Step-by-step explanation:

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The difference of 7 and a number x is 10
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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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