If someone knows the answer please help . Lots of points !

Step-by-step explanation:

Given function is,

f(x) = -4(x - 3)² + 1

A). Negative sign of the coefficient (-4) tells that the parabola opens downwards.

    And 4 represents that the parent function is stretched vertically by 4 units.

B). By comparing this equation with the vertex form of the quadratic function,

    f(x) = a(x - h)² + k  

    Here, (h, k) is the vertex of parabola.

    Vertex of the given parabola → (3, 1)

C). Axis of symmetry → x = 3

D). Domain of the given quadratic function → (-∞, ∞)

     Range of the given function → (-∞, 1)

h

step-by-step explanation:

look at the picture.

y-intercept for the function on a picture is 4 → point (0, 4).

y-intercept for the function

is for x = 0. substitute:

y-intercept is 8 → point (0, 8).