Using translation concepts, it is found that the function that would meet Daniel's needs is:
g(x) = -cf(x) - b, c > 1, b > 0
<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.
In this problem, the parent function is f(x).
The transformations are as follows:
- Vertical stretch, hence the function has to be multiplied by a constant c that is greater than 1, that is, .
- Reflection over the x-axis, hence the function is multiplied by -1, that is, .
- Shift down, hence a constant b is subtracted from the graph, that is, .
You can learn more about translation concepts at brainly.com/question/21197885
Answer:
9 cups
Step-by-step explanation:
We can use ratios to solve
1/3 cup red 4 cups red
----------------- = -------------------
3/4 cup yellow x cups yellow
Using cross products
1/3 *x = 3/4 *4
1/3x = 3
Multiply each side by 3
1/3 x * 3 = 3 * 3
x = 9
Let s and d represent the number of sit-ups Jerry does and the number of days Jerry has been doing them (not counting the first), respectively. The problem statement tells us
s = 16 + 2d
This is the equation that can be solved to find d.
_____
Here is its solution.
Since we want to find d (the number of days), we can subtract 16 and divide by 2.
s - 16 = 2d
(s - 16)/2 = d
d = (s/2) - 8
Example:
Today Jerry did 22 sit-ups. He has been doing them for ...
(22/2) - 8 = 11 - 8 = 3 . . . days
Answer:
156 g
Step-by-step explanation:
i took the test and it worked out well
Hey there!
It looks like we're factoring.
I always like to think of factoring as the opposite of the distributive property, and you'll see why.
First, we have to <em>factor</em> out a common <em>factor</em> from 21p and 35q, which we'll use as 7.
7 times 3p = 21p and 7 times 5q = 35q
Using our distributive property which is defined as:
a(b+c) = ab+ac we have:
7(3p + 5q)
Multiply it out and you'll get 21p and 35q.
Hope this helps!