Daily Regents: Quad-Linear Systems (August 2014)

I'll be reviewing a New York State Regents Exam Question every day from now until the Regents exams begin next month. At least, that is the plan.

August 2014, Questions 35

35. Let f(x)= -2x² and g(x) = 2x - 4. On the set of axes below, draw the graphs of y = f(x) and y = g(x).

Using this graph, determine and state all values of x for which f(x) =g(x).

Using your graphing calculator, find the points from each function.
The linear function, g(x) has a y-intercept of -4 and a slope of +2.
The quadratic function, f(x) is a parabola with the origin as its vertex and it will open downward.

The two lines will intersect twice: at (-2, -8) and at (1, -2). They do NOT ask for the points of intersection. You are asked only for the x values. The x values are -2 and 1.

Believe it or not, if you give coordinates, you could actually lose a point for not answering the question that was asked.

Any questions?

---

If anyone in Brooklyn is looking for an Algebra or Geometry Regents Prep tutor, send me a note. I have a couple of weekly spots available between now and June.