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amid [387]
3 years ago
15

The functions f(x) = (x + 5)^2 + 2 and g(x) = -(x − 3)^2−3 have been rewritten using the completing-the-square method. Is the ve

rtex for each function a minimum or a maximum? Explain your reasoning for each function.
Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0

Answer:

When the leading coefficient is positive, the graph opens up. It means the vertex is its minimum.

When the leading coefficient is negative, the its vertex is its maximum.

  • f(x) - vertex is minimum
  • g(x) - vertex is maximum
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If x + y = 10 and x - y = 4, find the value of x² - y²
morpeh [17]

Answer:

x²-y² = 40

Step-by-step explanation:

Factorising x²-y²:

x²-y² = (x+y)(x-y)

This is due to the property that states:

a²+b² = (a+b)(a-b)

Substituting the given values into the above equation:

x²-y² = (10)(4)

= 40

Hence, x²-y² = 40

<em>Hope this helps and be sure to have a wonderful time ahead at Brainly! :D</em>

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