Advanced Math practice question

Answer: 3

Set equal: x² − 4x + 3 = −x + 3, so x² − 3x = 0 and x(x − 3) = 0. At x = 0, y = 3; at x = 3, y = 0. The y-coordinates sum to 3 + 0 = 3.

Common wrong answers

If you answered 0

0 is only one of the y-coordinates (at x = 3); the other, at x = 0, is 3.

If you answered 6

6 doubles the 3, or adds the y-intercepts of both equations; only one intersection has y = 3.

If you answered -3

−3 has the wrong sign; the y-values are 3 and 0.

More Advanced Math questions

• Very hard
  The function f(x) = x² + 6x + 5 is rewritten in the form f(x) = (x + a)² + b. What is the value of b?
• Very hard
  What is the solution to the equation 6/(x − 2) = 3?
• Very hard
  The polynomial p(x) = x³ − 4x has how many distinct real zeros?
• Very hard
  The polynomial p is defined by p(x) = x³ + ax² + bx − 12, where a and b are constants. If x − 2 is a factor of…
• Very hard
  The function f, defined by f(x) = 3000(1.331)^(x/12), gives the value, in dollars, of an investment x months a…
• Very hard
  In the xy-plane, the parabola y = x² − 4x + 7 and the line y = mx − 2, where m is a constant, intersect at exa…