Question

Find the range:

y = -x2 - 2x + 5

Answer 1

\[y=-x^2-2x+5\] is a parabola that opens down
you need the second coordinate of the vertex
the first coordinate is \(-\frac{b}{2a}\) which in your case is
\[-\frac{-2}{2\times (-1)}=-1\]

Answer 2

the second coordinate of the vertex is what you get for \(y\) when you replace \(x\) by \(-1\)

Answer 3

\[y = -x^2 - 2x + 5\]\[y=(-1)^2-2\times (-1)+5\] is what you need to compute

Answer 4

oops that was not right, compute \[y=-(-1)^2-2\times (-1)+5\]

Answer 5

should get
\[-1+2+5=6\]