The equation for the red graph is f(x)=-x^2.
The question is an incomplete graph of a function is missing
For a complete question refer to the graph attached below
we have ![g(x)=4-x^2](https://tex.z-dn.net/?f=g%28x%29%3D4-x%5E2)
The vertex of the function g(x) is the point (0,4)
The vertex of the function f(x) is the point (0,0)
<h3>What is the vertex?</h3>
This is typically a local maximum or minimum of curvature, and some authors define a vertex to be more specifically a local extremum of curvature.
So, the rule of the translation of g(x) to f(x) is
(x,y)------> (x,y-4)
The translation is 4 units down
The equation of the function f(x) is
![f(x)=g(x)-4](https://tex.z-dn.net/?f=f%28x%29%3Dg%28x%29-4)
![f(x)=(4-x^2)-4](https://tex.z-dn.net/?f=f%28x%29%3D%284-x%5E2%29-4)
![f(x)=-x^2](https://tex.z-dn.net/?f=f%28x%29%3D-x%5E2)
Therefore, The answer is f(x)=-x^2
To learn more about the graph visit:
brainly.com/question/4025726
#SPJ1
Answer:
thx lol
Step-by-step explanation:
Answer:
1. no. 2. yes. 3. no. 4. yes. 5. yes.
Step-by-step explanation:i'll explain how to identify integers.
The integers are ..., -4, -3, -2, -1, 0, 1, 2, 3, 4, ... -- all the whole numbers and their opposites (the positive whole numbers, the negative whole numbers, and zero). Fractions and decimals are not integers. For example, -5 is an integer but not a whole number or a natural number. ... Integers are numbers that do not have a fractional part, including positive and negative numbers and zero. Whole numbers are positive integers and zero. Natural numbers are positive integers and are sometimes called counting numbers. tell me if you need me to explain more.