contestada

The graph of f(x) = x2 is translated to form g(x) = (x – 5)2 + 1. On a coordinate plane, a parabola, labeled f of x, opens up. It goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). Which graph represents g(x)? On a coordinate plane, a parabola opens up. It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10). On a coordinate plane, a parabola opens up. It goes through (2, 8), has a vertex at (5, negative 11), and goes through (8, 8). On a coordinate plane, a parabola opens up. It goes through (negative 8, 10), has a vertex at (negative 5, 1), and goes through (negative 2, 10). On a coordinate plane, a parabola opens up. It goes through (negative 8, 8), has a vertex at (negative 5, negative 11), and goes through (negative 2, 8).

Respuesta :

Using translation concepts, the graph of g(x) is given as follows:

It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).

What is a translation?

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

In this problem, the parent and translated functions are given, respectively, by:

  • f(x) = x².
  • g(x) = (x - 5)² + 1.

The transformations are as follows:

  • x -> x - 5, hence the function was shifted right 5 units.
  • y -> y + 1, hence the function was shifted up 1 unit.

f(x) has vertex at (0,0), hence g(x) will have the vertex at (5,1). When x = 2, g(x) = (2-5)^2 + 1 = 10, hence the correct statement is:

It goes through (2, 10), has a vertex at (5, 1), and goes through (8, 10).

More can be learned about translation concepts at https://brainly.com/question/4521517

#SPJ1

Otras preguntas