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38 votes
38 votes
Does anyone know the answer to this?

Does anyone know the answer to this?-example-1
User Mynetx
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2 Answers

18 votes
18 votes

the answer is b. y-5=1/2(x+3)^2

User Jacob Abraham
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3.7k points
25 votes
25 votes

9514 1404 393

Answer:

B. y -5 = (1/2)(x +3)^2

Explanation:

The parent function f(x) = x^2 has been shifted left 3 and up 5, and scaled vertically. The translation of the vertex to (h, k) can be modeled by ...

y -k = a(x -h)^2

For (h, k) = (-3, 5), the form of the answer will be ...

y -5 = a(x +3)^2

Only one answer choice has that form.

_____

Additional comment

The coefficient 'a' will be positive when the parabola opens upward. This eliminates choices A and C. Choice D represents a translation of 3 units right and 5 units down—directions opposite of those shown on this graph.

Does anyone know the answer to this?-example-1
User Brijesh Shiroya
by
2.6k points