The correct option is the first one: Graph of quadratic decreasing through negative 3, 5 to a minimum at negative 1, 1 then increasing through 1, 5 and a separate quadratic increasing through negative 1, 1 to a maximum at 1, 5 and then decreasing through 2, 4.
Graph of a quadratic decreasing through (-3, 5) to a minimum at (-1, 1), then increasing through (1, 5). Additionally, there is a separate quadratic increasing through (-1, 1) to a maximum at (1, 5) and then decreasing through (2, 4). This option represent the given system.
Graph of a quadratic decreasing through (-3, 7) to a minimum at (-1, 3), then increasing through (1, 7). There is also a separate quadratic increasing through (-2, 4) to a maximum at (-1, 5) and then decreasing through (1, 1). This option does not match the given system.
Which of the following graphs represent the system of equations f(x) = x2 + 2x + 2 and g(x) = –x2 + 2x + 4?
a graph of quadratic decreasing through negative 3 comma 5 to a minimum at negative 1 comma 1 then increasing through 1 comma 5 and a separate quadratic increasing through negative 1 comma 1 to a maximum at 1 comma 5 and then decreasing through 2 comma 4.
b graph of quadratic decreasing through negative 3 comma 7 to a minimum at negative 1 comma 3 then increasing through 1 comma 7 and a separate quadratic increasing through negative 2 comma 4 to a maximum at negative 1 comma 5 and then decreasing through 1 comma 1
c graph of quadratic decreasing through negative 3 comma 6 and negative 2 comma 4 to a minimum and then increasing through negative 1 comma 4 and 0 comma 6 and a separate quadratic increasing through negative 1 comma 4 and 0 comma 6 to a maximum and then decreasing through 1 comma 6 and 2 comma 4
d graph of quadratic decreasing through negative 3 comma 1 to a minimum at negative 2 comma 0 then increasing through negative 1 comma 1 and a separate quadratic increasing through negative 1 comma 1 and 1 comma 9 to a maximum at 2 comma 10 and then decreasing through 3 comma 9