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vovangra [49]
3 years ago
8

Describe how the graph of y=x^2 can be transformed to the graph of the given equation y=x^2-20

Mathematics
2 answers:
brilliants [131]3 years ago
8 0

Answer: The graph of the equation y=x^2 can be transformed to the graph of the equation y=x^2-20 by shifting y=x^2  20 units downward.

Step-by-step explanation:

Some transformations for a function f(x):

If f(x)+k, the function is shifted "k" units upward.

If f(x)-k, the function is shifted "k" units downward.

Knowing these transformations and given these equations:

y=x^2 and y=x^2-20  

We can concluse that the graph of the equation y=x^2 can be transformed to the graph of the equation y=x^2-20 by shifting y=x^2  20 units downward.

FinnZ [79.3K]3 years ago
4 0

We can transform this function by adding a constant to the original equation y=x^2. A new transformed function g(x) is given by g(x)=f(x)+c (where f(x)=y)

c>0 moves it up

c<0 moves it down

So: y=x^2+c

y=x^2-20

The new graph will be 20 units down the original.

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