Using translation concepts, it is found that the parent cosine function undergoes these following transformations:
- Horizontal shift of 1 unit to the right.
- Vertical shift of 5 units up.
- The frequency was multiplied by 2.
<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 cosine function is given by:
The translated function is given by:
The changes were as follows:
- 1 was subtracted at the domain, hence it had a horizontal shift of 1 unit to the right.
- 5 was added to the function, hence it had a vertical shift of 5 units up.
- The domain was multiplied by 2, hence the frequency was multiplied by 2.
More can be learned about translation concepts at brainly.com/question/4521517
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Answer:
a = -1
Step-by-step explanation:
The general equation for a straight line is y = mx+c, where m is the gradient/ slope, so m = -5. The first thing we need to do is find c, which we do by plugging in the x and y values that we already know: y = 7 and x = -2
7 = -5*(-2) + c
7 = 10 + c
c = 7-10 = -3
Now, we have the general equation of y = -5x -3 and we can use this to find a.
We'll treat a as x and y will be equal to 2:
2 = -5a -3
5 = -5a (Divide both sides by 5)
-a = 1 (now by -1)
a = -1
Answer:
18 days
Step-by-step explanation:
It depends on the number of frogs, but if there is one frog then it would be...
9÷.5= 18 (18 half cups in 9 cups)
Therefore, one frog can eat for 18 days because it is only eating .5 a day.
Answer:
Step-by-step explanation:
Given :
In order to find we will substitute for in the given function, that is :