Answer:
Step-by-step explanation:
Hello
please find attached the graph
you can notice that 
(a) from the graph we can say that there is no maximum and one minimum in x = 3
and then f(3) = 0 so o is the minimum of f
(b) vertex is (3,0)
(c) x = 3 is an axis of symmetry
(d) as
the root is 3
(e) y=9 for x = 0 so the y-intercept is 9
do not hesitate if you need further explanation
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Given:
A figure of dilation and the center of dilation is O.
To find:
The value of y.
Solution:
The distance between center and vertex of image (d') is proportional to the distance between center and the corresponding vertex of original figure (d).



Where, k is the scale factor or constant of proportionality.
So, the scale factor for the given dilation is



We know that,




Divide both sides by 9.



Therefore, the value of y is 12.
In this equation, there is nothing to solve for. However, the expression

is the Pythagorean theorem. If there is a right triangle, then when the lengths of two shorter legs (a and b) are added together, and then square rooted, you get c, which is the hypotenuse.
Hope this helps!