The translated function is:
g(x) = √(x - 3) - 9
<h3>
How to find the translation?</h3>
The transformations used here are:
<u><em>Horizontal translation:</em></u>
For a general function f(x), a horizontal translation of N units is written as:
g(x) = f(x + N).
- If N is positive, the shift is to the left.
- If N is negative, the shift is to the right.
<u><em>Vertical translation:</em></u>
For a general function f(x), a vertical translation of N units is written as:
g(x) = f(x) + N.
- If N is positive, the shift is upwards.
- If N is negative, the shift is downwards.
So, if we have a translation of 3 units right and 9 units down, this would be written as:
g(x) = f(x - 3) - 9
Replacing f(x) by the actual function we get:
g(x) = √(x - 3) - 9
If you want to learn more about translations, you can read:
brainly.com/question/24850937
Step-by-step explanation:
Zach needs 3 cups of sugar
Answer:
Sales tax : $27
Total price : $477
Step-by-step explanation:
Given that:
Sale price of tv = $450
Sales tax = 6%
Amount of sales tax =
Amount of sales tax = 0.06 * 450
Amount of sales tax = $27
Total price = Sale price + Sales tax
Total price = 450 + 27 = $477
Hence,
Sales tax : $27
Total price : $477
The Y-intercept is a point where the line crosses the Y lines. That means it would be the point where X=0. Then to find the Y-intercept you only need to insert X=0 into the equation. The calculation would be:
<span> 4×+2y=12
4(0) + 2 Y= 12
2Y =12
Y=6</span>