Whats the table for y=-4|x-5|+3 how to solve absolute value function with a table and graph

Mathematics

1 answer:

zepelin [54]3 years ago

3 0

Answer:

For a table for x and y values for this absolute value equation, it would look like this:

x --- y

3 --- (-5)

4 --- (-1)

5 --- 3

6 --- (-1)

7 --- (-5)

Step-by-step explanation:

When you are building a table for an absolute value graph, you start with the base formula for absolute value equations:

y = a|x-h| + k

In this equation (h, k) is the vertex and therefore the middle point. From there we go two numbers in each direction for our x values. And for every change in x, y changes by a factor of a.

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Find the least squares regression equation using the school year (in number of years after 2000) for the input variable and the

Ad libitum [116K]

Answer-

The least squares regression equation using the school year (in number of years after 2000) for the input variable and the average cost (in thousands of dollars) for the output variable is "y=0.937x+12.765" .

Solution-

The independent variable / input variable= x = Number of years after 2000 ( = year-2000)

The dependent variable / output variable = y = Average cost in thousands of dollars

(The table has been attached herewith.)

To find the regression equation for a group of (x,y) points,

We have to calculate the slope and y-intercept, then we can put those values in the equation y = mx + c ( Slope - Intercept formula)

We know that,

$Slope=m=\frac{N\sum xy -\sum x\sum y}{N\sum x^{2}- (\sum x)^{2}}$