The equation in the vertex form of g(x) is:

<h3>
How to get the equation of function g?</h3>
We know that g(x) is a translation of 2 units below and 3 units to the left of f(x).
So first, let's rewrite f(x) to its vertex form:

The vertex is at:

The y-value of the vertex is:

Then the vertex form of f(x) is:

If we move this vertex 2 units below, and 3 units to the left, then we have:

That is the equation for g(x) in vertex form.
If you want to learn more about quadratic equations:
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Answer:
P(x) = 3x - 150
Step-by-step explanation:
Step-by-step explanation:
P(x) = R(x) - C(x)
Given:
R(x) = 5x
C(x) = 2x + 150
P(x) = 5x -(2x+150)
P(x) = 5x - 2x -150
P(x) = 3x - 150 <- Answer
y
=
3
x
4
−
3
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
3
4
Y-Intercept:
−
3
Think of the two pieces together as a single cone of height 19, and its volume.
Then think of only the upper piece as a cone, and find its volume.
The volume of the frustum is the total volume minus the volume of the upper piece.
The volume of a cone is:

Total volume:

Volume of upper cone:

Volume of frustum: