Answered

At Westonci.ca, we connect you with the best answers from a community of experienced and knowledgeable individuals. Experience the ease of finding reliable answers to your questions from a vast community of knowledgeable experts. Discover in-depth answers to your questions from a wide network of professionals on our user-friendly Q&A platform.

What is the equation of the translated function, g(x), if
f(x) = x2?

g(x) = (x + 5)2 + 2
g(x) = (x + 2)2 + 5
g(x) = (x – 2)2 + 5
g(x) = (x – 5)2 + 2
On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (3, 6), has a vertex at (5, 2), and goes through (7, 6).

Sagot :

sqdancefan

Answer:

  (d)  g(x) = (x – 5)² + 2

Step-by-step explanation:

You want the equation of the parabola f(x) = x² after its vertex has been translated to (5, 2).

Translation

Translation of function f(x) by (h, k) makes the function be ...

  g(x) = f(x -h) +k

When the vertex of f(x) = x² has been translated by (5, 2), it becomes ...

  g(x) = f(x -5) +2

  g(x) = (x -5)² +2 . . . . . matches choice D

__

Additional comment

Translation by (h, k) moves the graph h units to the right and k units up. We only need to know how one point is translated in order to know what the translated function is. It is convenient to use the vertex as that reference point.

Your visit means a lot to us. Don't hesitate to return for more reliable answers to any questions you may have. We hope this was helpful. Please come back whenever you need more information or answers to your queries. Thank you for trusting Westonci.ca. Don't forget to revisit us for more accurate and insightful answers.