Answer:
- The graph is attached below.
Step-by-step explanation:
Given : A sine function has the following key features:
Period = π , Amplitude = 2, Midline: y = -2 , y-intercept: (0,-2)
The function is a reflection of its parent function over the x-axis.
To plot the graph :
Solution :
General form of sin function is 
Where A is the amplitude
C is the midline
Substitute the given key features
A=2 , C=-2
The sin function is 
The function is a reflection of its parent function over the x-axis.
i.e, The coordinate became (x,y)→(x,-y)
The sin function is
Now, We plot the graph of the sin function.
The graph is attached below.
First point is midline i.e, (0,-2)
Minimum point is 
9514 1404 393
Answer:
Step-by-step explanation:
The thrust of the question is to make sure you understand that increasing the y-coordinate of a point will move the point upward, and decreasing it will move the point downward.
That is adding a positive value "k" to x^2 will move the point (x, x^2) to the point (x, x^2+k), which will be above the previous point by k units.
If k is subtracted, instead of added, then the point will be moved downward.
The blanks are supposed to be filled with <u> positive </u>, and <u> negative </u>.
_____
<em>Comment on the question</em>
The wording of the statement you're completing is a bit odd. If k is negative (-2, for example), this statement is saying the graph is translated down -2 units. It is not. It is translated down |-2| = 2 units. The direction of translation depends on the sign of k. The amount of translation depends on the magnitude of k.
If you thoroughly understand (x, y) coordinates and how they are plotted on a graph, it should be no mystery that changing the y-coordinate will change the vertical position of the graph.
Answer:
2 degrees and 178 degrees.
Step-by-step explanation:
So, remember if 2 angles are supplementary, they equal 180 degrees. Let's call the smaller angle x, meaning the bigger angle, which is 89 times the size of the smaller angle, would be 89x. Now let's put that into an equation.
180 = x + 89x
We now have to group the x's together:
180 = 90x
Now in order to determine x, we have to divide by 90 on both sides.
X= 2
So we know that the smaller angle is 2, meaning that if the larger angle is 89 times the size, the larger angle would be 178.
Answer:
0
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
(-5x + 6x²) - (6x² - 5x)
<u>Step 2: Simplify</u>
- [Distributive Property] Distribute negative: -5x + 6x² - 6x² + 5x
- [Subtraction] Combine like terms (x²): -5x + 5x
- [Addition] Combine like terms (x): 0
On a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.
<h3>What are the characteristics of the graph of the inequality?</h3>
Inequality of a graph is represented with the greater then(<), less then(>) or with the other inequity signs. The inequality line on the graph is represented with the dotted lines.
Characteristics of the graph of the inequality-
- Open circle-When the value of the variable is equal to the given number, then the graph of the inequality has an open circle.
- Closed circle-When the value of the variable is not equal to the given number, then the graph of the inequality has a closed circle.
- The ray will move to the right-When the, value of the variable is greater than the number, then the ray will move to the right.
- The ray will move to the left-When the value of the variable is less than the number, then the ray will move to the left.
The linear inequality given in the problem is,
The graph of this line is attached below. Here, for the greater than sign, every thing on the left of the graph is shaded, and the line will be dotted because of inequality as shown in the attached image.
Hence, on a coordinate plane, a dashed straight line has a positive slope and goes through (0, negative 4) and (3, negative 2) and to the left of the line is shaded.
Learn more about the characteristics of graph of the inequality here;
brainly.com/question/62792
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