Question

Function g is a transformation of the parent function f(x) = x2. The graph of g is a translation right 5 units
and up 1 unit of the graph of f. Write the equation for g in the form y = ax2 + bx + C.
A. y = x2 + 10x + 24
B. y = x2 + 6x + 5
C. y = x2 - 10x + 26
D. y = x2 - 6x - 5

Answer 1

Answer:

  C.  y = x^2 -10x +26

Step-by-step explanation:

The translated function is ...

  g(x) = f(x - right) + up

  g(x) = f(x -5) +1

  g(x) = (x -5)^2 +1

  g(x) = x^2 -10x +26

In "y =" form, this is ...

  y = x^2 -10x +26 . . . . matches choice C