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

Answer:

              Vertical translation up by 5 units

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.