How does the graph of g(x) = (x + 4)^3 − 6 compare to the parent function f(x) = x^3?

a) g(x) is shifted 6 units to the left and 4 units down.
b) g(x) is shifted 4 units to the right and 6 units down.
c) g(x) is shifted 6 units to the left and 4 units up.
d) g(x) is shifted 4 units to the left and 6 units down.

  D) g(x) is shifted 4 units to the left and 6 units down

Step-by-step explanation:

When -6 is added to the y-value, it moves the point on the graph down 6 units. Compared to f(x), g(x) is 6 units down.

Transforming the function using f(x -h) shifts its graph h units to the right. Here, we have h=-4, so the graph is shifted 4 units to the left.

x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x

step-by-step explanation:

last month maria hiked the 5-mile mountain trail a number of times and she hiked the 10-mile canal trail several times. let x represent the number of times she hiked the 5-mile trail, and let y represent the number of times she hiked the 10-mile trail. if she hiked a total of 90 miles, which equation can be used to find the number of times maria hiked each trail? x + y = 90 5x – 10y = 90 90 – 10y = 5x 90 + 10y = 5x