Answer:
Explanation:
The function describes a parabola
for find the value of y we have to substitute the value of x in the function
x = -1
y = (-1-2)^2 =9
(-1;9)
x = 0
y = (0-2)^2 = 4
(0;4)
x = 1
y = (1-2)^2= 1
(1;1)
x = 2
y = (2-2)^2 = 0
(2;0)
x= 3
y = (3-2)^2 = 1
(3;1)
for the second part we can solve the square of the binomial
y = x^2 -4x + 4
direction of opening : we have to see if the term that multiply x^2 is positive or negative. In this case is not expessed so it is 1, a positive number.
So the direction of opening is : upwards
line of symmetry: -b/2a where b is the term that multiply x and a the term that multiply x^2
x = 4/2 = 2
vertex: the x - coordinate of the vertex is the same of the line of symmetry
so x = 2
for find the y - coordinate we have to substitute the value of x in the equation
y = 4 - 8 + 4 = 0
vertex = (2;0)
the parabola has an upwards direction of opening so it has a point of minimum that is the vertex itself.
minimum of 0