how does the graph of g(x) = −(x + 3)^4 compare to the parent function of f(x) = x^4
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.

Option D

g(x) is shifted 3 units to the left and reflected over the x-axis.

Step-by-step explanation:

If we have a main function

And we perform the transformation:

Then it is fulfilled that:

If the graph of f(x) moves horizontally h units to the left

If the graph of f(x) moves horizontally h units to the right

If we have a main function

And we perform the transformation:

Then it is fulfilled that:

The graph of g(x) is equal to the graph of f(x) reflected on the x axis

In this case we have to:

and

Therefore and

This mean that: g(x) is shifted 3 units to the left and reflected over the x-axis.

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

135 is your answer

step-by-step explanation:

try 180 times three then divide that number by 4 (sides) to get your answer. im glad to : )