Write the equation of the quadratic function f(x) that satisfies all three properties below: -
contains the point (-4,-195), has the same shape as y=-3x², the x-coordinate of the vertex is 4.

f(x) = -3(x - 4)^2 - 3.

Step-by-step explanation:

As the vertex is at x = 4 and it is the same shape as  y = -3x^2  the vertex of y = -3x^2 ( x = 0) moves 4 units to the right so the form of the f(x) is

f(x) = -3(x - 4)^2 + c    where c is some constant.

Now when x = - 4  f(x) = -195 so:

-195 = -3(-4-4)^2 + c

-195 = -3*64 + c

c = -195 + 192 = -3.

So the required equation is f(x) = -3(x - 4)^2 - 3.

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.

option: d is the correct answer.

d) none of the above.

step-by-step explanation:

clearly from the figure attached to the question we could see that there is no shape given. hence without any shape given in the figure and after rotation we can't obtained a square pyramid.

since, to obtain a image we need a proper figure of the pre-image so that it can be transformed.

hence, the correct answer is:

d) none of the above.

step-by-step explanation: