The functions are illustrations of function transformations
The transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
<h3>How to determine the transformations</h3>
The equation of the function is given as:

The parent function of the above equation is:

First, the function f(x) is reflected across the y-axis to give

Next, the function is shifted 2 units up.
So, we have:

Rewrite as:

Express f(-x) + 2 as g(x).
So, we have:

Hence, the transformation from f(x) to g(x) is reflecting across the y-axis, and then shifting 2 units up
Read more about function transformation at:
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I used google calculator just search triangle length calculator
Answer:
what i have lerned in this module

Step-by-step explanation:

When x = -1
Substitute x = -1 into y = 2x
y = 2(-1)
y = -2
( -1, -2)
When x = 3
Substitute x = 3 into y = 2x
y = 2(3)
y = 6
( 3, 6)
Answer:
= - 1.5n - 6
Step-by-step explanation:
Given that the sequence is arithmetic with n th term ( explicit formula
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 7.5 and d = - 9 - (- 7.5) = - 9 + 7.5 = - 1.5
= - 7.5 - 1.5(n - 1) = - 7.5 - 1.5n + 1.5 = - 1.5n - 6
Step-by-step explanation: