Consider the functions f(x) = x2 - 4x and g(x) = (x - 2)2 + 3.
Which of the following statements are true? Select all that apply.

A)The graphs of f(x) and g(x) share the same axis of symmetry.

B)The graphs of f (x) and g(x) share the same y-intercept.

C)The graphs of f(x) and g(x) share the same
x-intercepts.

D)The graph of f(x) and g(x) open in the same direction.
The graph of f(x) is wider than the graph of g(x).

E)The vertical distance between the vertex of f(x) and the vertex of g(x) is 4 units.

Airline passengers arrive randomly and independently at the passenger-screening facility at a major international airport. the mean arrival rate is 10 passengers per minutes. compute the following probabilities. p(x = 4) p(x > 11)

He graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. which statement about the domain and range of each function is correct? the range of the transformed function and the parent function are both all real numbers greater than or equal to 4. the domain of the transformed function is all real numbers and is, therefore, different from that of the parent function. the range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function. the domain of the transformed function and the parent function are both all real numbers.

Alex measured the length of an item to be 3.7 cm. the actual length is 3.5 cm. what is alex’s percent error?