A. 14 units for the distance between M and N
Answer:
The vertex is (-5,-1)
Step-by-step explanation:
f(x) = 4(x+5)²-1
This is written in vertex form
y = a(x-h)^2 +k where ( h,k) is the vertex
f(x) = 4(x- -5)²-1
H is -5 and k = -1
The vertex is (-5,-1)
The final answer is (2,1).
Step 1: Solve for either x or y in one of the two equations.
x + 3y = 5
- 3y - 3y
----------------------
x = -3y + 5
Step 2: Substitute the expression you got for x into the opposite equation.
-3y + 5 - 3y = -1
-6y + 5 = -1
- 5 - 5
--------------------
-6y = -6
------ -----
-6 6
y = 1
Step 3: Plug in the solution you got for y into either of the 2 equations.
x + 3(1) = 5
x + 3 = 5
- 3 - 3
---------------
x = 2
Given:
Roots:
Point: (-1,4)
To determine the equation of the parabola with the given roots and point, we find the missing values first.
Since the roots are given, we can say that the equation is:
Next, we expand the terms.
Then, we plug in x= -1, and y=4 into the equation to get the value of a.
So,
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