Question

22. A parabola equation is given as y = 3(x - 2)^2 + 5. What are the coordinates of the vertex?

Answer 1

vertex: (2, 5)

Explanation:

y=3(x−2)2+5

this is a parabola because of one variable squared and the other one is not so now write it in the standard form of parabolas which it is = to

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Vertical :

(x−h)2=4p(y−k)

Horizontal:

(y−k)2=4p(x−h)2

vertex = (h, k)

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this y=3(x−2)2+5 equation is vertical since x is squared

subtract 5 from both sides:

y−5=3(x−2)2

divide both sides by 3:

(y−5)13=(x−2)2

vertex:

(2,5)

Answer 2

(2, 5)

Explanation:

The x coordinate is the number inside the parentheses, but with the opposite sign, 2

The y coordinate is the number at the end