The axis of symmetry is 1.
To find this, do -b/2a, putting -8 in the place of b and -4 in the place of a. Proceed to solve to get 1.
The equation provided is vertex form, so to find the needed components, you need to solve for the vertex. To do so, implement 1 in as x and solve for the vertex.
The vertex is 1, -16.
(y - 16) = -4(x - 1)^2
Although it is not exactly vertex form, the only difference is that instead of it being +k at the end, it is subtracted with the y.
Hope this helps!
Variables in algebra are usually represented by letters such as x, y, z, w.
Your expression has only one such letter: y.
Answer:
#1
Zeroes: x = 4, x = -6
The vertex is at ( -1 , 50 )
Step-by-step explanation:
I'll do the first one, you try the rest
All of these are written in y = a(x - x1)(x - x2) where x1 and x2 are given and x are the two different zeroes (or x-intercepts)
f(x) = -2(x-4)(x+6)
The zeroes are x - 4 = 0 and x + 6 = 0 if you solve, you get 4 and -6
Zeroes: x = 4, x = -6
The x value of the vertex can be found using -b/2a (in the form ax^2 + bx + c)
First expand f(x)
-2(x^2 + 2x - 24) => -2x^2 - 4x + 48
b = -4 and a = -2
-(-4)/2(-2) = 4/-4 = -1
the x-value of the vertex is -1
Now substitute -1 as x to find the y-value of the vertex
-2(-1-4)(-1+6) = -2(-5)(5) = 50 <= y-value of vertex
The vertex is at ( -1 , 50 )
Answer:
Three consecutive numbers are 27,28,29
Step-by-step explanation:
Given : The sum of three consecutive integers is 84.
To find : What are the integers?
Solution : Let three consecutive numbers 
So, according to given situation 'sum of three consecutive integers is 84'.
So,
Therefore, three consecutive numbers are 27,28,29
The answer is a, this is because 5(2+4) is the same as multiplying 5 by 6 to get 30. The reason we do this is because the length of the entire side is the sum of the bottom numbers
