Let f(x) = 3x^2 + 2.
The equation g(x) is f(x) translated up 5 units.
What is the equation of g(x)?

g(x) = 3x² + 7

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then shift up by c units

• If c < 0 then shift down by c units

Here the translation is 5 units up, thus

g(x) = 3x² + 2 + 5 = 3x² + 7

g(x) = 3x² + 7  

Step-by-step explanation:

To translate a function upward by b units, we add the constant b to the function.

Thus, g(x) =ƒ(x) +5 = 3x² +2 + 5 = 3x² + 7

The figure below shows the graphs of  ƒ(x) and g(x). The graph of g(x) is the same as that of ƒ(x) shifted up by 5 units.

you are uyytr tyy

step-by-step explanation:

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: