Which steps transform the graph of y=x^2 to y=-2(x- 2)^2+ 2?

hangobw6h

hangobw6h

Answered question

2023-03-26

Which steps transform the graph of y = x 2 to y = - 2 ( x - 2 ) 2 + 2 ?

Answer & Explanation

Wilhalm3qdn

Wilhalm3qdn

Beginner2023-03-27Added 8 answers

The transformation g ( x ) of a polynomial function f ( x ) takes the form:
g ( x ) = a f [ k ( x - d ) ] + c
a is the factor of vertical stretch or compression. If a is negative, then the transformed graph is reflected over the y -axis.
1 k is the factor of horizontal stretch or compression. If k is negative, then the transformed graph is reflected over the x -axis.
d is the horizontal translation.
c is the vertical translation.
When looking at a transformation, the steps are applied moving from the left side of the equation to the right.
In y = - 2 ( x - 2 ) 2 + 2 :
a = - 2 . The graph is reflected over the y -axis and stretched vertically by a factor of 2.
d = 2. The graph is translated two units to the right.
c = 2. The graph is translated two units upwards.

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