Give the quadratic function a graph for the function f (x)= -(x-3)^2-2
1 answer:
Answer
The graph of the function f(x) = -(x - 3)² - 2, is presented below
Explanation
We are told to graph a given function
f(x) = -(x - 3)² - 2
The first step into making this easy is to open the bracket.
f(x) = - (x² - 6x + 9) - 2
f(x) = -x² + 6x - 9 - 2
f(x) = -x² + 6x - 11
The next step is then to insert different values of x into the function and obtain the corresponding value of the function. This set of ordered pairs arethen plotted to form the graph.
The graph is then plotted and presented under 'Answers' above.
Hope this Helps!!!
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The statement for the logic is
Further explanation:
The logic given in the question is .
The logic is a symbol of implication.
Statement p is “It is raining” and the statement q is “The track meet will be canceled”.
The statement formed for the logic is called a compound statement.
The truth table for the logic is attached below.
From the table attached below it is observed that there are four cases for the compound statement.
Case1:
If p statement is true and the q statement is true then the compound statement for is also true.
Case 2:
If p statement is true and the q statement is false then the compound statement for is false.
Case 3:
If p statement is false and the q statement is true then the compound statement for is true.
Case 4:
If p statement is false and the q statement is false then the compound statement for is true.
For a true statement it can also be said that it is a positive statement and for a false statement it can be said that it is a negative statement.
Statement p is given as “It is raining”, which is a positive statement or a true statement.
Statement q is given as “The track meet will be cancelled”, which is a positive statement or a true statement.
As per the table attached for the logic it is observed that the given statements p and q resembles with the case
as both of the statement are true.
So, the compound statement for is also a true statement.
The compound statement for the logic is as follows:
Therefore, the compound statement for the logic is
Learn more:
- A problem on composite function brainly.com/question/2142762
- A problem on simplification brainly.com/question/894273
- A problem in inverse function brainly.com/question/1632445
Answer details
Grade: High school
Subject: Mathematics
Chapter: Logic
Keywords: Logics, implications, compound, compound statement, true statement, false statement, positive statement, negative statement, p->q.
