Question
What point is symmetrical to (3,−9)
for the graph of y=x2−12x+18
?(1 point)
Responses
(−3,−9)
left parenthesis negative 3 comma negative 9 right parenthesis
(9,−9)
left parenthesis 9 comma negative 9 right parenthesis
(3,9)
left parenthesis 3 comma 9 right parenthesis
(−9,3)
for the graph of y=x2−12x+18
?(1 point)
Responses
(−3,−9)
left parenthesis negative 3 comma negative 9 right parenthesis
(9,−9)
left parenthesis 9 comma negative 9 right parenthesis
(3,9)
left parenthesis 3 comma 9 right parenthesis
(−9,3)
Answers
GPT 3.5
To find the point that is symmetrical to (3,-9) for the graph of y=x^2-12x+18, we can use the formula for the axis of symmetry. The formula for the axis of symmetry is x=-b/2a, where a and b are the coefficients of the quadratic equation (in this case, a=1 and b=-12).
Substituting the values into the formula, we get x=-(-12)/2(1) = 12/2 = 6.
Since the point (3,-9) is to the left of the axis of symmetry, the symmetrical point will be to the right. Therefore, the symmetrical point is (9,-9).
Substituting the values into the formula, we get x=-(-12)/2(1) = 12/2 = 6.
Since the point (3,-9) is to the left of the axis of symmetry, the symmetrical point will be to the right. Therefore, the symmetrical point is (9,-9).