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5. The graph of F(x), shown below, resembles the graph of G(x)=x2, but it has been
flipped over the x-axis, stretched vertically by a factor of 3, shifted down 4 units, and
left 1 unit.
-6
F(X)
Part I: Write the equation of F(x).

5 The graph of Fx shown below resembles the graph of Gxx2 but it has been flipped over the xaxis stretched vertically by a factor of 3 shifted down 4 units and class=

Respuesta :

Using translation concepts, the equation of F(x) is given as follows:

-3(x + 1)² - 4.

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The effect of the transformations on G(x) = x² is given as follows:

  • Reflection over the x-axis: F(x) = -G(x) = -x².
  • Vertical stretch by a factor of 3: F(x) = -3G(x) = -3x².
  • Shift down of 4 units: F(x) = -3G(x) - 4 = -3x² - 4.
  • Shift left of 1 units: F(x) = -3G(x + 1) - 4 = -3(x + 1)² - 4.

More can be learned about translation concepts at https://brainly.com/question/4521517

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