Let f(x) = 2(x-3)^2
Write a function g whose graph is a reflection in the x-axis of the graph of f.

g(x) =

The reflected form of [tex]f(x) = 2\cdot (x-3)^{2}[/tex] in the x-axis is [tex]g(x) = -2\cdot (x-3)^{2}[/tex].

Mathematically speaking, a reflection of [tex]f(x)[/tex] in the x-axis is represented by the following formula:

[tex]g(x) = -f(x)[/tex] (1)

Where:

Let be [tex]f(x) = 2\cdot (x-3)^{2}[/tex], then [tex]g(x)[/tex] is:

[tex]g(x) = -2\cdot (x-3)^{2}[/tex] (2)

Now we present a comparison between [tex]f(x)[/tex] and [tex]g(x)[/tex] in the image attached below.

The reflected form of [tex]f(x) = 2\cdot (x-3)^{2}[/tex] in the x-axis is [tex]g(x) = -2\cdot (x-3)^{2}[/tex].

We kindly invite to see this question on reflections: https://brainly.com/question/17983440

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b
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c
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a
83x + 65y

b
65x − 18 + 65y

c
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d
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Question 4 (5 points)
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Kat 40 89
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Michelle

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Question 5 (5 points)
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Question 6 (5 points)
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Hulk

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Iron Man

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12

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a
x + (x + 5) = 32

b
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c
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d
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Question 10 (5 points)
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a
9 + 7n ≤ 44, so n ≤ 5

b
9 + 7n ≥ 44, so n ≥ 5

c
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d
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Question 11 (5 points)
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a
40 + 5n ≤ 70, so n ≤ 6

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c
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d
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Question 12 (5 points)
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Defne was looking online and saw some some cakes that looked delicious. Each cake costs $10.01 and has a shipping cost of $9.96 per order. If Defne wants to spend no more than $50 for the cakes, which inequality shows the maximum number of cakes, c, Defne can buy?(5 points)

a
9.96p − 10.01p ≤ 50, so p ≤ 1

b
9.96p + 10.01p ≤ 50, so p ≤ 2

c
9.96 − 10.01p ≤ 50, so p ≤ 3

d
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