Select all the transformations of f(x) = x2 that combine to result in the graph of function g below. A parabola with vertex negative 1 comma negative 2 that opens downward. The graph passes through the points negative 3 comma negative 3 and 1 comma negative 3.

Group of answer choices

vertical stretch by a factor of 2

translation of 1 unit right

translation of 2 units up

translation of 1 unit left

reflection across the x-axis

horizontal stretch by a factor of 2

translation of 2 units down

Options 4, 5 and 7.

Step-by-step explanation:

The general function is

The vertex form of a parabola,

       ...(1)

where, a is a constant and (h,k) is vertex.

It is given that vertex of a parabola is (-1,-2).

      ...(2)

It passes through (-3,-3).

Put this value in (2).

Now,

h=1>0, so translation of 1 unit left.

a=-1/4<0 Reflection across the x-axis and vertical compression by factor 4.

k=-2<0, translation of 2 units down

Therefore, the correct options are 4, 5 and 7.

9.55 degrees.

step-by-step explanation:

the given angle is

1 cycle is equal to 2π radians. so 4π will be equal to two cycles.

5.166667π-4π = 1.166667π

hence, this angle goes a little more than negative x axis.

1.166667π-π= 0.166667π

hence, the reference angle is 0.166667π radians.

1 radian = 57.2958 degrees

now, in degrees, this should be equals to 9.55 degrees.

answer: b.

step-by-step explanation:

the y coordinate for point b is 0, and answer b is the only one with that y coordinate.