Use the parabola tool to graph the quadratic function f (x) = -1/2x^2+7 .

Graph the parabola by first plotting its vertex and then plotting a second point in the parabola.

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?

This activity will you meet these educational goals: mathematical practices-you will make sense of problems and solve them, reason abstractly and quantitatively, and usemathematics to model real-world situations.directionsread the instructions for this self-checked activity type in your response to each question, and check your answers. at theend of the activity, write a brief evaluation of your work.

Taylor graphs the system below on her graphing calculator and decides that f(x)=g(x) at x=0, x=1, and x=3. provide taylor with some feedback that explains which part of her answer is incorrect and why it is incorrect. f(x)= 2x+1 g(x)= 2x^2+1