The function f(x) = x2 is transformed to f(x) =
1
2
(x − 2)2. Which statement describes the effect(s) of the transformation on the graph of the original function?
A) The parabola is narrower and shifted 2 units to the right.
B) The parabola is narrower and shifted 2 units to the left.
C) The parabola is wider and shifted 2 units to the right.
D) The parabola is wider and shifted 2 units to the left.
I think its's b but I'm not sure

As part of an annual fundraiser to raise money for diabetes research, diane joined a bikeathon. the track she biked on was 1,920 yards long. diane biked 38.5 laps. her sponsors agreed to donate an amount of money for each mile she biked. how many miles did she bike? first fill in the blanks on the left side using the ratios shown. then write your answer. given ratios: 5280ft / 1 mi , 1 mi /5280 ft , 1,920 yards / 1 lap , 1 lap / 1,920 yards , 3 ft / 1 yard , 1 yard / 3 ft. blanks: 38.5 laps / 1 yard x (blank) x (blank) x (blank) = (blank) miles i'm really confused on how to do this, and the explanations aren't exactly . if you could walk me through how to do this, it would be greatly appreciated.

Lydia collected two sets of data one set of data shows an outlier. which set has an outlier, and which number is the outlier?

Look at the figure below: triangle abc is a right triangle with angle abc equal to 90 degrees. the length of ac is 5 units and the length of ab is 4 units. d is a point above c. triangle adc is a right triangle with angle dac equal to 90 degrees and dc parallel to ab. what is the length, in units, of segment cd?