For which pair of functions is the vertex of g(x) 11 units above the vertex of f(x)?
o a. f(x) = x2 and g(x) = (x + 11)2
o b. f(x) = x2 and g(x) = (x - 11)2
o c. f(x) = x2 and g(x) = x2 +11
o d. rx) = x2 and g(x) = x2 - 11

Researchers were interested in whether relaxation training decreases the number of headaches a person experiences. they randomly assigned 20 participants to a control group or a relaxation training group and noted the change in number of headaches each group reported from the week before training to the week after training. which statistical analysis should be performed to answer the researchers' question?

Paul’s car is 18 feet long. he is making a model of his car that is 1/6 the actual size. what is the length of the model?

If you have a set of parallel lines a and b cut by transversal x, if angle 1 = 167 degrees, what is angle 4 and why. also what is the measure of angle 5 and why? you need to use the names of the angle relationship and explain.