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Mashutka [201]
3 years ago
13

If f(x)=x^2 is vertically compressed by a factor of 8 yo g(x) , what is the equation of g(x)

Mathematics
1 answer:
Wewaii [24]3 years ago
5 0

Answer:

g(x)=\frac{1}{8} x^{2}

Step-by-step explanation:

Expansions and compressions are transformations that change the length or width of the graph of a function. The general form of the graph of a function expands or compresses vertically or horizontally. Expansions and compressions are considered non-rigid transformations.

<u><em>Vertical compression:</em></u>

<u><em></em></u>

<u><em></em></u>y=kf(x)<u><em></em></u>

<u><em></em></u>

  • If k>0 the graph of f (x) is vertically stretched by a factor of k.

  • If k<0 the vertical stretch is followed by a reflection across the x-axis.

  • If 0<k<1 the graph is f (x) vertically compressed by a factor of 1/k.

So, if f(x)=x^{2}  is vertically compressed by a factor of 8. Hence, using the previous information, we can conclude that the equation of g(x) is:

g(x)=\frac{1}{8} x^{2}

I attached you the graphs.

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