Using translation concepts, it is found that:
- The parent function y =
is decreasing across it's domain because it's base, b, is such that 0 < |b| < 1.
- The function f shifts the parent function 8 units up.
- The function f shifts the parent function 5 units right.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
The parent function is:

It has a base with absolute value between 0 and 1, hence it is decreasing.
The changes to the function are given as follows:
- y -> y + 8, hence the function was shifted 8 units up.
- x -> x - 5, hence the function was shifted 5 units right.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
25. Option b.
26. Option d.
Step-by-step explanation:
25.
She earns $5.25 in one hour so in 1 hour 30 minutes = (1.5 hours) she earns 5.25 + 1.5*5.25 = 5.25 + 2.625
= $7.88.
26.
The domain is {-8, -5 and 7} so it cannot be a or b.
A function is either a one-to-one or a many-to-one relation
Look at option d . The -8 in the domain maps on to 2 elements in the range
(-6 and 1) so its a one-to many relation and its NOT a function.
Answer:
C
Step-by-step explanation:
For this, you want to treat i like any other variable, and combine like terms. However you need to keep in mind that there is a negative sign before the second set of parentheses. This means everything inside it should have a negative before it. So we can write it like this:
(7 + 3i) - (3 - 9i)
7 + 3i -3 +9i
4 + 12i
Hope that helps!
Answer:
a, b, g
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
Answer:
should be -1/14
Step-by-step explanation: