How does the graph of g(x) = 3x^3 + 6 differ from the graph of its parent function f(x) = x3? Select all the transformations. Adding 6 translates the graph right 6 units.
The leading coefficient, 3, translates the graph up 3 units.
The leading coefficient, 6, compresses the graph vertically.
Adding 6 translates the graph up 6 units.
The leading coefficient, 3, stretches the graph vertically.

Adding 6 translates the graph up 6 units.

The leading coefficient, 3, stretches the graph vertically.

Red: 3x^3+6

Blue:x^3

When we multiply a function by a positive constant, we get a function whose graph is stretched or compressed vertically in relation to the graph of the original function. If the constant is greater than 1, we get a vertical stretch; if the constant is between 0 and 1, we get a vertical compression.

I hope this good enough:

the final amount you will pay is $68.04.

the tip is determined by the pre-tax amount, so we calculate the tip based on the original bill, not after we've added sales tax.

to find the tip:

we can divide 54.00 by 100 to get 1% of 54. then we multiply that by 18.

54 / 100 = .54

.54 x 18 = 9.72

tip = 9.72$

to find the tax:

we can divide 54.00 by 100 to get 1% of 54. then we can multiply that by 8 to get 8%.

54 / 100 = .54

.54 x 8 = 4.32

tax= 4.32

now we can add the tip and tax to the bill to get our total.

54 + 9.72 + 4.32 = 68.04

total: $68.04

step-by-step explanation: