Answer:
hi how are you doing?
Step-by-step explanation:
Answer:
g(x) = (x + 2)^2 + 1
Step-by-step explanation:
From the graph/image that you have provided said translated shift of
f(x) -> g(x)
f(x) = x^2 , g(x) = a(x -h)^2 +k
h is shift right/left
k is shift up/down.
It appears that the shift is left 2 and up 1.
h = -2 and k = 1
g(x) = (x - (-2))^2 +1
g(x) = (x + 2)^2 + 1
Y - y1 = m (x + x1)
Solve for m by subtracting the y's and dividing them by the difference of the 2 x's.
-32 - 1 = -33
-8 - 3 = -11
Divide the two to get 3.
Use the first point (as instructed) and plug it into the equation.
y - (-32) = 3 (x - (-8))
y + [32] = [3] (x + [5])
The brackets are the fill in the blanks.
