(x1,y1)
(x2,y2)
(xm,ym)
Midpoint formula is given as below.
((x1 + x2)/2 , (y1 + y2)/2 )
Where
(x1 + x2)/2 = xm ----------- (1)
(y1 + y2)/2 = ym ----------- (2)
Equation (1) implies that;
x1 + x2 = 2xm
x2 = 2xm – x1
Equation (2) implies that;
y1 + y2 = 2ym
y2 = 2ym – y1
Thus the end point is
<span>(x2,y2) = (2xm – x1, 2ym – y1)</span>
5/9
5 times 4= 20
12 times 3=36
20/36=5/9
When constructing inscribed polygons and perpendicular lines, how are the steps similar?
<span>There are no similarities.</span>
The value of k in the translated graph of f(x - h) + k is; k = 2
<h3>How to carry out Translations on Graphs?</h3>
We are given the parent function of f(x) = x³.
Now, the point (0, 0) in the graph of f(x) is the point (3, 2) in the translated graph. Thus;
The rule of translation is;
(x, y) → (x + 3, y + 2)
That means;
The translation is 3 units to the right and 2 units up
The equation of the translated graph is equal to;
f(x) = (x - 3)³ + 2
Thus;
The value of k is equal to 2.
Read more about Graph Translations at; brainly.com/question/4025726
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Answer:
4(x-4.5)^2
Step-by-step explanation:
h(x)=4x^2-36x+81
=4(x^2-9x)+81
=4(x^2-9x+20.25)-(4)(20.25)+81
=4(x-4.5)^2