The function g(x) = –3x2 – 36x – 60 written in vertex form is g(x) = –3(x + 6)2 + 48. which is one of the transformations applied to the graph of f(x) = x2 to change it into the graph of g(x) = –3x2 – 36x – 60? the graph of f(x) = x2 is made narrower. the graph of f(x) = x2 is shifted right 6 units. the graph of f(x) = x2 is shifted down 48 units. the graph of f(x) = x2 is reflected over the y-axis.

The vertex form of the function gives the vertex as (-6,48). The vertex of f(x)=x^2 is (0,0) so from this information, the vertex is moved LEFT 6 and UP 48. This cancels out two options. The coefficient -3 tells us that the graph is flipped or reflected over the x-axis (negative sign flips graph) and that all y-values will be 3 times as large. Larger y-values for the same x inputs makes the graph narrower.

For the first question the answer is a, for the second c, for the third d, for the 4th b, for the 5th a