Answer to Question #43009 in Calculus for shasha

Question

Find the vertex of the graph of the function.

f(x) = (x + 4)2 - 1

(0, -4)

( -1, 0)

( -4, -1)

( -1, -4)

show work

Answer 1

f(x) = (x + 4)²- 1=x²+8x+15
The vertex can be found using the formula x₀ = -b/2a = -8/2 = -4;
y₀ = f(-4) = -1
Answer: (-4;-1)