ally0817
10.03.2020 •
Mathematics
The graph of the parent function p( x) = x 2 passes through the point R(13, 169). The graph of p is transformed such that the new graph represents the function f( x) = ( x + 6) 2 − 10. If this transformation translates point R to a new location R', what is the x-coordinate of R'?
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Ответ:
The x-coordinate of R' is 7
Step-by-step explanation:
we have
This is the equation of a vertical parabola, open upward
The vertex is the point (0,0)
This is the equation of a vertical parabola, open upward
The vertex is the point (-6,-10)
so
The transformation of
p(x) -----> f(x)
(0,0) -----> (-6,-10)
The rule of the transformation is
(x,y) -----> (x-6,y-10)
That means ----> The translation is 6 units at left and 10 units down
Applying the rule of the translation to point R
R(13, 169) ------> R'(13-6, 169-10)
R(13, 169) ------> R'(7, 159)
therefore
The x-coordinate of R' is 7
Ответ:
Side 1 sq + side 2 sq = side 3 sq
5sq + 12sq = 13sq
25 + 144 = 169