Exponential Growth Functions Answers

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According to one company’s profit model, the company has a profit of 0 when 10 units are sold and a maximum profit of $18,050 when 105 units are sold. What is the function that represents this company’s profit f(x) depending on the number of items sold, x?

A
f(x)=−2(x+105)2+18,050
B
f(x)=−2(x−105)2+18,050
C
f(x)=−10(x+105)2+18,050
D
f(x)=−10(x−105)2+18,050
24
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Tempestt graphs a function that has a maximum located at (–4, 2). Which could be her graph?

A
On a coordinate plane, a parabola opens up. It goes through (negative 6, 6), has a vertex at (negative 4, 2), and goes through (negative 2, 6).
Option A
B
On a coordinate plane, a parabola opens up. It goes through (2, 6), has a vertex at (4, 2), and goes through (6, 6).
Option B
C
On a coordinate plane, a parabola opens down. It goes through (negative 6, negative 2), has a vertex at (negative 4, 2), and goes through (negative 2, negative 2).
Option C
D
On a coordinate plane, a parabola opens down. It goes through (2, negative 2), has a vertex at (4, 2), and goes through (6, negative 2).
Option D
25

Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?

A
right 1 unit
B
left 1 unit
C
right 2 units
D
left 2 units
26

Question text not available

Question illustration
A
y = 0.5(x + 2)2 + 4
B
y = 0.5(x + 3)2 – 0.5
C
y = 0.5(x – 3)2 – 0.5
D
y = 0.5(x – 2)2 + 4
27

On a coordinate plane, two parabolas open up. The solid-line parabola, labeled f of x, goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4). The dashed-line parabola, labeled g of x, goes through (negative 6, 10), has a vertex at (negative 4, 6), and goes through (negative 2, 10).

Question illustration
A
g(x) = (x – 4)2 + 6
B
g(x) = (x + 6)2 – 4
C
g(x) = (x – 6)2 – 4
D
g(x) = (x + 4)2 + 6

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