Answer:
The equation 
represents the equation of the parabola with focus (-3, 3) and directrix y = 7.
Step-by-step explanation:
To find the equation of the parabola with focus (-3, 3) and directrix y = 7. We start by assuming a general point on the parabola (x, y).
Using the distance formula 
, we find that the distance between (x, y) is
and the distance between (x, y) and the directrix y = 7 is
.
On the parabola, these distances are equal so, we solve for y:
Answer:
Step-by-step explanation:
Distributive property: a(b +c) = (a*b) + (a*c)
45 = 40 + 5
5* 45 = 5* (40 + 5)
= 5*40 + 5*5
= 200 + 25
= 225
B. it’s the change in y over the change in x
Answer:
g(x) = (x -3 )^2 + 2
Step-by-step explanation:
f(x) = (x + 2)^2 + 2
We want to shift this 5 units to the right
The parabola is written in the form
y = a(x-h) ^2 +k where (h,k) is the vertex
The vertex is at ( -2, 2)
We want to shift it 5 units to the right
-2+5 = 3
g(x) = (x -3 )^2 + 2
A will be the right answer
