Question

Which phrase best describes the translation from the graph y = 2(x – 15)2 + 3 to the graph of y = 2(x – 11)2 + 3? 4 units to the left 4 units to the right 8 units to the left 8 units to the right

Answer 1

Left is plus right is negative -11-(-15)=4  so you know 4 to the left

Answer 2

we have

$y=2(x-15)^{2}+3$

this is the equation of a vertical parabola open up with vertex at point $(15,3)$

$y=2(x-11)^{2}+3$

this is the equation of a vertical parabola open up with vertex at point $(11,3)$

so

the rule of the translation is

$(x,y)---------> (x-4,y)$

that means

the translation is $4$ units to the left

therefore

the answer is

$4$ units to the left