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just olya [345]
3 years ago
13

Choose the equations that are not linear equations. -x - y = 2 x 2 + y = 4 - y 3 = 1 x = 5

Mathematics
1 answer:
NeX [460]3 years ago
5 0
X² + y = 4 and -y³ = 1x -5 are not linear equation because they contain a variable with a exponents. These types of equation are called quadratic equations. 
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Which statements describe transformations performed in f (x) = x^2 to create g (x) = 2x^2 + 5? select all that apply.
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Answer:

The statements describe transformations performed in f(x) to create g(x) are:

a translation of 5 units up ⇒ c

a vertical stretch with a scale factor of 2 ⇒ d

Step-by-step explanation:

  • If f(x) stretched vertically by a scale factor m, then its image g(x) = m·f(x)
  • If f(x) translated vertically k units, then its image h(x) = f(x) + k

Let us use these rule to solve the question

∵ f(x) = x²

∵ g(x) is created from f(x) by some transformation

∵ g(x) = 2x² + 5

→ Substitute x² by f(x) in g(x)

∴ g(x) = 2f(x) + 5

→ Compare it with the rules above

∴ m = 2 and k = 5

→ That means f(x) is stretched vertically and translated up

∴ f(x) is stretched vertically by scal factor 2

∴ f(x) is translated 5 uints up

The statements describe transformations performed in f(x) to create g(x) are:

  • a translation of 5 units up
  • a vertical stretch with a scale factor of 2
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