Respuesta :

Answer: -1/2 (x-4)^2 + 3

Step-by-step explanation:

Since the graphs both have the same stretch of -1/2x^2, you just need to see how much they were shifted up, down, left, or right. h(x) is shifted up 3 and right 4 of f(x) so h(x) = -1/2 (x-4)^2 + 3

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Answer:

[tex]h(x)=-\dfrac12(x-4)^2+3[/tex]

Step-by-step explanation:

Given:

[tex]f(x)= - \dfrac12x^2[/tex]

From inspection of the graph, [tex]f(x)[/tex] has been translated 4 units to the right and 3 units up.

Therefore, [tex]h(x)=f(x-4)+3[/tex]

[tex]\implies h(x)=-\dfrac12(x-4)^2+3[/tex]

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