Analysis:
f(x) = –3(x – 6)^2 – 11
means vertex is at x = 6 and y = - 11
The negative sign in front of x^2 means the parabola opens downward.
The, the vertex is a maximum point, which is below the x-axis (because it is negative). Therefore the parabola do not cross the x-axis, meaning that all the y-values are negative (≤ -11).
Answer:
Options:
The axis of symmetry is the line x = 6.---> true, the symetry line is vertical and passes through the vertex
The vertex of the graph is at (–6, –11).---> false, it is (6, -11)
The parabola has a minimum.---> false, y values have not a lower bound.
The parabola opens down.---> true, because the negative sign in front ox x^2
The value of h, when the equation is written in vertex form, is positive. ---> false, the value of h is positive. It is 6. Although h is preceeded by a negative sign in the equation, h itself is positive.
