The vertex of the function is (–3, –13).
The axis of symmetry for the function is x = 3.
The graph increases over the interval (–3, infinity symbol).
The function does not cross the x-axis.
Find the vertex of the parabola given by the formula :
1. As you can see this vertex form differ from the vertex form in option A, then A is incorrect.
2. When x=-3, f(-3)=-13 and the vertex has coordinates (-3,-13) - option B is true.
3. From the attached graph you can see that the axe of symmetry is line x=-3 that passes through the vertex. This means that choice C is incorrect.
4. From the attached graph you can see that the function is increasing for x>-3 and decreasing for x<-3. Option D is correct.
5. The graph intersects x-axis at two points (see attached diagram). Option E is incorrect.
It is clear from the information given that Both Options B and Option D are correct. While options A and C are incorrect.
The set of all points in the plane of the form (x, f(x)) is known as the graph of a function f(x).
In order words, it is the collection of all ordered pairs of the function. Examples of real-life applications of GraphFunctions are:
Learn more about the Graph of a Function at:
Answer:
The volume of the sphere is
Step-by-step explanation:
we know that
The volume of the sphere is equal to
we have
-----> the radius is half the diameter
assume
substitute
Answer:
1/3 =0.33 = 33%
Step-by-step explanation:
The probability is the number of chances divided by the total number. The total number of options is 6 since it is a six sided cube. She could roll a 6 to be greater than 5 or 1 to get less than 2. These are two options out of total of 6.
2 out of 6 is 2/6 which simplifies to 1/3 =0.33 = 33%
Hello there,
Shelly rolls a number cube labeled from 1 to 6. What is the probability that she rolls a number greater than 5 or less than 2?
Answer: 33%
Answer:
93
Step-by-step explanation:
The average is calculated as
average =
On 3 quizzes
= 73 ( multiply both sides by 3 )
sum = 219
On 4 quizzes, letting x be the score on fourth test
= 78 ( multiply both sides by 4 )
sum + x = 312 , that is
219 + x = 312 ( subtract 219 from both sides )
x = 93
She must score 93 on the next quiz
Answer:
To figure out the variance, divide the sum, 82.5, by N-1, which is the sample size (in this case 10) minus 1. The result is a variance of 82.5/9 = 9.17. Standard deviation is the square root of the variance so that the standard deviation would be about 3.03.
hope this helps!