we have
[tex]y=2(x-15)^{2}+3[/tex]
this is the equation of a vertical parabola open up with vertex at point [tex](15,3)[/tex]
[tex]y=2(x-11)^{2}+3[/tex]
this is the equation of a vertical parabola open up with vertex at point [tex](11,3)[/tex]
so
the rule of the translation is
[tex](x,y)---------> (x-4,y)[/tex]
that means
the translation is [tex]4[/tex] units to the left
therefore
the answer is
[tex]4[/tex] units to the left
The phrase best describes the translation from the graph is 4 units to the left.
Given
The translation from the graph [tex]\rm y = 2(x-15)^2+ 3[/tex] to the graph of [tex]\rm y = 2(x -11)^2+ 3[/tex]
A small group of words standing together as a conceptual unit, typically forming a component of a clause:
The translation from the graph;
[tex]\rm y = 2(x-15)^2+ 3[/tex]
The equation of a vertical parabola opens up with vertex at point (15, 3).
The translation from the graph [tex]\rm y = 2(x-15)^2+ 3[/tex] to the graph of [tex]\rm y = 2(x -11)^2+ 3[/tex]
The equation of a vertical parabola opens up with vertex at point (11, 3).
The h is a horizontal translation of h units.
For h > 0, move right
For h < 0, move left
The rule of the translation is;
[tex]\rm (x, \ y) =[/tex] [tex]\rm (x, \ y+4)[/tex]
Hence, the phrase best describes the translation from the graph is 4 units to the left.
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