Parallelogram PQSR is shown on the coordinate plane below. What are the coordinates of the image of point Q after parallelogram POSR is reflected over the x-axis and then translated 2 units to the left?
A.(2,-4)
B.(4, 2)
C.(4, -2)
D.(2,4)

The table below represents a linear function f(x) and the equation represents a function g(x): x f(x) −1 −5 0 −1 1 3 g(x) g(x) = 2x − 7 part a: write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points) part b: which function has a greater y-intercept? justify your answer. (4 points)

When turned about its axis of rotation, which shape could have created this three-dimensional object?

Assume that 1400 births are randomly selected and 1378 of the births are girls. use subjective judgment to describe the number of girls as significantly high, significantly low, or neither significantly low nor significantly high. choose the correct answer below. a. the number of girls is neither significantly low nor significantly high. b. the number of girls is significantly high. c. the number of girls is significantly low. d. it is impossible to make a judgment with the given information.