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:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).