Answer :
Follow through with the function (x+7)²
(x+7)² is the same as (x+7)(x+7).
You get x² + 14x + 49
Plug it back into the equation to get
y=x² + 14x + 49 - 5, which equals y=x² + 14x + 44
The formula for the x point in the vertex is -b/2a. (a is x² and b is x)
So -14/2 = -7 = x
Plug this into the equation.
y=-7² + 14(-7) + 44
y=49 - 98 + 44
y=-5
(-7, -5)
I apologize for the error beforehand--I typed 49 instead of 44 and ended up with 0 instead of -5.
(x+7)² is the same as (x+7)(x+7).
You get x² + 14x + 49
Plug it back into the equation to get
y=x² + 14x + 49 - 5, which equals y=x² + 14x + 44
The formula for the x point in the vertex is -b/2a. (a is x² and b is x)
So -14/2 = -7 = x
Plug this into the equation.
y=-7² + 14(-7) + 44
y=49 - 98 + 44
y=-5
(-7, -5)
I apologize for the error beforehand--I typed 49 instead of 44 and ended up with 0 instead of -5.
If you have an equation in the vertex form [tex]y=(x-h)^2+k[/tex] the vertex is [tex](h,k)[/tex]
In your case [tex]h=-7,k=-5[/tex] so the vertex is [tex](-7,-5)[/tex]
In your case [tex]h=-7,k=-5[/tex] so the vertex is [tex](-7,-5)[/tex]
