The graph of the function F(x) = 2x^2-8 is changed. The new graph can be
1 answer:
Answer:
The graph now opens in the opposite direction. The y intercept is shifted up 4.
Step-by-step explanation:
F(x) = 2x^2-8
F(X)= -2x^2-4
We know that the graph is reflected over the y-intercept becuase of the negative sign in the second equation ( F(X)= -2x^2-4)
We know that the intercept is shifted up four, because the number decreased from 8 to 4, and the graph is reflected.
Attacthed is both of the equations graphed to help you visualize this shift!
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<u>Answer-</u>
<em>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" .</em>
<u>Solution-</u>
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,
Putting the values from the table,
( ∵ Instead of 150,894 we have to put 150.894 as we have find the line for year and thousands of dollars )
Now, for the y-intercept,
Putting the values,
Now, putting the values of c and m, in the Slope-Intercept formula,
