Need Done ASAP Please Help will give brainliest How does the graph of g(x) = −(x + 3)4 compare to the parent function of f(x) = x4?
A. g(x) is shifted 3 units to the right and 1 unit up.
B. g(x) is shifted 3 units to the right and 1 unit down.
C. g(x) is shifted 3 units to the right and reflected over the x-axis.
D. g(x) is shifted 3 units to the left and reflected over the x-axis.

The difference between the functions f(x) and g(x) is the addition of a

constant to the value of x and changing

the sign of the output.

The graph of g(x) compared to f(x) is g(x) is shifted 3 units to the left and

reflected over the x-axis.

Reason:

The addition of a positive constant term to the input variable of a function,

shifts the graph to the left of the graph of

the parent function.

Please find attached the image of the graph of f(x), which is g(x) shifted to

the left by 3 units.

Step-by-step explanation:

Changing the sign of the output value from positive to negative;

When the output value of a function is changed from positive to negative,

and vice versa, it is equivalent to a reflection across the x-axis.

Therefore, the function g(x) is a reflection across the x-axis.

Therefore;

g(x) is shifted 3 units to the left and

reflected over the x-axis.

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.