Answer:
Vertex: (5, 4)
Step-by-step explanation:
Quadratic Transformations Equation: f(x) = a(bx - h)² + k
<em>a</em> - vertical shrink/stretch
<em>b</em> - horizontal shrink/stretch
<em>h</em> - horizontal movement left/right
<em>k</em> - vertical movement up/down
<em>h, k</em> - vertex
5,4
3(x-5)^2+4
3(x^2-10x+25)+4
3x^2-30x+75+4
3x^2-30x+79
now,
comparing with ax^2+bx+c
a=3
b=-30
c=79
for x, -b/2a
= -(-30)/2*3
=30/6
=5
replacing x
3x^2+bx+c
3*5^2+(-30)*5+79
3*25-150+79
75+79-150
154-150
4
the vertex are(x,y)
(5,4)
Least Common Denominator: 12
6: 6, 12
4: 4, 8, 12
I am joyous to assist you anytime.