Question

Question 3

10 pts
In the transformed quadratic functiong (X) = (x – 8)2 + 5, two
transformations occurred: horizontal translation to the right by 8 units
and
O Vertical translation up by 5 units
O Vertical Translation down by 5 units
Vertical stretch by a factory of 5
O Reflection over the X – axis
10t

Answer 1

Vertical translation up by 5 units

Step-by-step explanation:

From vertex form of quadratic function g(x)=a(x-h)²+k the h and k are coordinates of vertex transformed from point (0,0) which is the vertex of parental function f(x)=ax²

It means the h determines how many units we moved parental graph horizontaly (to the left if h<0, to the right if h>0) and the k determines how many units we moved parental graph verticaly (down if h<0, up if h>0)

g(x) = (x - 8)² + 5 ⇒ h = 8, k = 5

So if h and k are >0 it means the parental graph was moved to the right and up.