If the graph of the function f defined by f(x)= −2x^2+1 is translated vertically downward by 3 units, it becomes the graph of a function h. how can i find the expression for h(x)?

  h(x) = -2x^2 -2

Step-by-step explanation:

You know that translating the point (a, b) vertically downward by 3 units will make it be the point (a, b-3).

The same translation works on the point (x, f(x)), or when a=x and b=f(x). Translated downward by 3 units, the point becomes ...

  (x, f(x) -3)

You want to name this (x, h(x)), so we have ...

  h(x) = f(x) -3

  h(x) = -2x^2 +1 -3 . . . substitute the expression for f(x)

  h(x) = -2x^2 -2 . . . . . simplify

definition: a circle is the  set of all points in a plane that are equidistant  from a given  point  called the center of the circle. we use the symbol ⊙ to represent a circle. the a line segment from the center of the circle to  any point  on the circle is a radius of the circle.

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i googled it and this is what i got i don't know how it is. sorry.

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