What is the variables replacement
Part A)
If f(x) - 3 is the new equation, it means there is a vertical translation of f(x) down 3 units. The y-intercept will decrease by 3 units. Areas of increasing on the function may be lessened as the function is being translated down 3 units. The areas of decrease will increase because the function is being translated down. End behaviour will not change from a translation as long as the function is continuous at each end, (not a finite function with end points). The evenness or oddness of f(x) will not change either.
Part B:
The y-intercept will be flipped horizontally about the x-axis and multiplied by 2. This will mean that if the y-intercept was positive, it will now be negative and vice versa. The increasing and decreasing regions of the graph will be flipped, so anywhere f(x) was positive will now be negative and vice versa. They will also be double what they were before because all values are multiplied by 2. The end behaviour will switch. If f(x) was from Quad1->Quad3 for example, it will now be Quad2->Quad4 because of the flip at the x-axis. The evenness and oddness of the function will not change seeing as the degree of f(x) is not affected.
The complete statements are as follows;
The variable is represented by<u> one </u><u>orange </u><u>x </u><u>tiles</u><u>.</u>
Subtract three is represented by <u>three</u><u> </u><u>blue</u><u> - tiles</u>.
The tiles represent <u>subtraction</u> <u>3</u> from an unknown number.
<h3>What are algerbra tiles?</h3>
Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.
Given
Use the algebra tiles to model x -3.
The complete statements are as follows;
The variable is represented by<u> one </u><u>orange </u><u>x </u><u>tiles</u><u>.</u>
Subtract three is represented by <u>three</u><u> </u><u>blue</u><u> - tiles</u>.
The tiles represent <u>subtraction</u> <u>3</u> from an unknown number.
To know more about algerbra tiles click the link given below.
brainly.com/question/81876
In this question , we have to write an arithmetic expression that calculates the average of 18 and 46.
TO find the average, we have to add the numbers and divide by 2.
So here we have to add 18 and 46 and divide by 2, that is
And that's the required algebraic expression .