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prisoha [69]
3 years ago
12

The graphs below are both quadratic functions. The equation of the red graph is

Mathematics
1 answer:
Natali5045456 [20]3 years ago
6 0

Answer:

D. g(x)=\frac{1}{5}x^2

Step-by-step explanation:

  • The equation of the red quadratic graph is f(x)=x^2.
  • This is the parent quadratic function or the base of the quadratic functions.
  • This red quadratic graph has been dilated by a certain scale factor  to obtain the blue graph. Recall that, when the scale factor is a fraction, such that 0\: the graph is stretched horizontally.
  • The dilated graph then becomes wider than the parent function.
  • From the given function equations, the possible value of k can only be k=\frac{1}{5}.
  • Therefore the blue graph has equation: g(x)=\frac{1}{5}x^2
  • The correct answer is D.
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