The answer is f(x)=3 or y=3
Answer:
the reciprocal of one is
it doesn't really make a difference it's still 1
Step-by-step explanation:
What do you notice about each solution? :
Picture 1 - They never intersect/touch.
Picture 2 - They are intersecting.
Picture 3 - They are on top of each other.
What do you notice about the graphs for each set of equations? :
Picture 1 - The lines are parallel.
Picture 2 - They are intersecting.
Picture 3 - They are on top of each other. (otherwise known as coincident lines).
What do you notice about each set of equations? :
Picture 1 - They have the same slope but different y-intercepts.
Picture 2 - Both the slopes and y-intercepts are different for each equation.
Picture 3 - They have the same slope and same y-intercept.
What generalization can you make? :
Picture 1 - When equations have the same slope but different y-intercepts they will be parallel when graphed.
Picture 2 - When the equations have different slopes and different y-intercepts they will be intersecting.
Picture 3 - When the equations are the same they will be coincident lines when graphed.
Answer:
y = (x+3)^2 -1
Step-by-step explanation:
The equation for an upward opening parabola is
y = a(x-h)^2 +k
Where (h,k) is the vertex
The vertex is (-3,-1)
y = a(x--3)^2 +-1
y = a(x+3)^2 -1
Put a point in to find a
(0,8)
8 = a(0+3)^2 -1
8 = a (3)^2 -1
Add 1 to each side
8+1 = a9
9=9a
Divide by 9
1 =a
y = (x+3)^2 -1