Question

Identify the vertex, axis of symmetry, and min/max value of each.

f(x) = -2x^2 - 36x -164

f(x) = -7x^2 + 14x - 15

f(x) = -6x^2 + 12x - 4

f(x) = 10x^2 - 100x +240

Answer 1

each of these works the same way. find
\[-\frac{b}{2a}\] and that will be the first coordinate of the vertex. second is what you get by substitution

Answer 2

\[f(x) = -2x^2 - 36x -164 \]
\[-\frac{b}{2a}=-\frac{36}{4}=-9\]
\[f(9)=-2\] range is
\[(-\infty, -2]\]

Answer 3

\[f(x) = -7x^2 + 14x - 15\]
\[-\frac{b}{2a}=\frac{14}{2\times 7}=1\]
\[f(1)=-8\] vertex is
\[(1,-8)\] range is
\[(-\infty, -8]\]

Answer 4

What do you mean by 'range'?