It goes through the point (2, 10), has a vertex at (5, 1) and goes through the point (8, 10).
A rigid transformation is a transformation applied on a figure such that the Euclidean distance is conserved for every point. In this question we need to understand the standard form of a parabola, which is represented by a second order polynomial:
y - k = C · (x-h)² (1)
Where:
We need to understand the differences between f(x) and g(x). After a quick comparison, we notice that g(x) is f(x) after applying the following rigid transformations:
Now we proceed to graph the function by a graphing tool. The figure shows that the parabola goes through the points (2, 10) and (8, 10).
The correct choice is: It goes through the point (2, 10), has a vertex at (5, 1) and goes through the point (8, 10).
To learn more on parabolae, we kindly invite to check this verified question: https://brainly.com/question/9725691
