I wrote it for you because i didnt know how to write it out in a way that made sense
hope this works! xx
Answer:
f(x) = (x + 4)² - 3
Step-by-step explanation:
The equation of a quadratic function in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Given
f(x) = x² + 8x + 13
To obtain f(x) in vertex form use the method of completing the square
add/ subtract (half the coefficient of the x- term)² to x² + 8x
f(x) = x² + 2(4)x + 16 - 16 + 13
f(x) = (x + 4)² - 3 ← in vertex form
Not sure about the last question
Answer:
The final answers are n = 0 or n = -1/4.
Step-by-step explanation:
Given the equation is -5n(4n + 1) = 0.
The Zero-Product property says "if x*y=0, then x=0 or n=0 or both."
we have -5n(4n + 1) = 0.
We know -5 is not equal to 0.
It means n = 0 or 4n+1 = 0.
n = 0 or 4n = -1.
n = 0 or n = -1/4
So, final answers are n = 0 or n = -1/4.
