Rewrite the quadratic function in vertex form. then, determine the maximum or minimum and the axis of symmetry.

y = -3x 2 + 18x - 2

See below in BOLD.

Step-by-step explanation:

y = -3x 2 + 18x - 2

y = -3(x^2 - 6x) - 2

y = -3 [ (x - 3)^2 - 9] - 2

y = -3(x - 3)^2  + 25  is vertex form.

The  coefficient of x^2 is negative so we have a maximum  value of the function.

The maximum value is 25 and the axis of symmetry is x = 3.

step-by-step explanation:

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.