Mathematics: Find the axis of symmetry and the vertex of the graph of the function: y=-1/2x^2+4x-7

Find the axis of symmetry and the vertex of the graph

mag331

28.04.2021

x=12.5

y=10

Step-by-step explanation:

Properties of rectangle:

Opposite sides are congruentAll angles are right anglesDiagonals bisect each otherDiagonals are of equal length

so from the properties we came to know that diagonals bisects each other and diagonals are of equal length

Given Rectangle RSUT has diagonals that meet at point X.

⇒ $RX=SX=UX=TX=\frac{1}{2}RU=\frac{1}{2}ST$

⇒ $RX=\frac{1}{2}ST$

⇒ $4x=\frac{1}{2}(100)$

⇒ x=12.5

Also XU=RX

⇒ (4)(12.5)=5y

⇒ 5y=50

⇒ y=10

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