Naomi drew lines of best fit for two scatter plots, as shown.

Which statement describes the placement of the lines Naomi drew?

A.
Only line A is a well-placed line of best fit.
B.
Only line B is a well-placed line of best fit.
C.
Both line A and line B are well-placed lines of best fit.
D.
Neither line A nor line B is a well-placed line of best fit.

B.  Only line B is a well-placed line of best fit.

Step-by-step explanation:

A line of best fit is a line that represents the data points the best. It doesn't necessarily mean always running through all the points, but the distance between the points on the scatter plot and the line should be approximately the same.

Look at the graphs.

- Line A: sure, it runs through 2 points, but all the other points are below the line, showing that A doesn't represent this data well.

Line B: it's true that the line doesn't run through any of the points, but the data are very close to the line with similar distances.

Thus, only B is well-placed.

B

Step-by-step explanation:

There are some points above and some below the line in B, making it a good fit

But in A, most of the points are below the line

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1