The standard form of a parabole is: (y-k) = a(x-h)², Where (h , k) are the coordinates of the vertex
In the example Vertex (3,1) ,
so (y-1) = a(x-3)². (a)
Now let's calculate a. The y-intercept coordinates(0 , 10), Replace in (a) x by 0 & y by 10:
(10-1) = a(0 - 3)²
9 = 9a and a=1
<u />The equation becomes : y-1 = (x-3)², Expand (y-1) = x²-6x+9
<u />and finally y = x² - 6x +10 (ANSWER C)

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<u>#BrainliestBunch</u>
The weight in 1980 is
kilograms
<em><u>Solution:</u></em>
From 1980 to 1990, Lior’s weight increased by 25%
His weight is "k" kilograms in 1990
<em><u>To find: weight in 1980</u></em>
This is a percentage increase problem
Let "x" be the weight in kilograms in 1980
<em><u>The percentage increase is given by formula:</u></em>

Here,
Initial value in 1980 = x
Final value in 1990 = k
Percentage increase = 25 %
<em><u>Substituting the values in formula,</u></em>

Thus the weight in kilograms in 1980 is 
Answer:
D: 2f+15
Step-by-step explanation:
f is the number of stamps from France that Carlotta owns.
Twice this amount is 2f
Then, 15 more than twice this amount is 2f + 15, and this is the expression that represents the number of American stamps that Carlotta owns
"The branch of mathematics concerned with the properties and relations of points, lines, surfaces, solids, and higher dimensional analogs." - Dictonary.com
In simple words, it is a study in math in which you study shapes, lines, planes, and points.