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Brilliant_brown [7]
4 years ago
8

Write the equation of the graphs below and explain

Mathematics
1 answer:
solniwko [45]4 years ago
5 0

Answer:

  y = 3√(x+3) -2

Step-by-step explanation:

The given points seem to match those of (half) a parabola that opens to the right. The parent function would be ...

  x = y^2

or ...

  y = √x . . . . . gives the upper half of the parabola only

It seems to have a vertical expansion by a factor of 3 and a translation of the vertex from (0, 0) to (-3, -2). The transformed function is then ...

  y = 3√(x +3) -2

_____

We have transformed the parent function using ...

  y = a·f(x-h) +k

where <em>a</em> is the vertical expansion factor, <em>h</em> is the horizontal translation, and <em>k</em> is the vertical translation.

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