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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Which graph represents g(x) = (x − 3)^2 - 5?

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!! Which graph represents g(x) = (x-example-1
User GraehamF
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1 Answer

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Answer: (D) bottom right graph

Explanation:

The vertex form of a quadratic equation is: f(x) = a(x - h)² + k, where

  • (h, k) is the vertex
  • |a| is the vertical stretch
  • sign of "a" determines the direction of the parabola

Given g(x) = (x - 3)² - 5

  • vertex (h, k) = (3, -5)
  • vertical stretch |a| = 1
  • sign of "a" is positive so parabola points up

The only graph that satisfies all of these conditions is the bottom right.

User Channing Walton
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