Explanation for Question 8 From the Math (Calc) Section on the 2017 May Sat
Question eight says probably the D and the X Y plane has equation 2 X minus two, Y squared minus eight, 3 Y minus 11 equals zero, 4 which equation shows the X intercepts of the parabola has constants or coefficients. 5 Now this might look kind of scary, especially because our answer choices are really 6 long and complicated equations, but it's actually a very simple question all 7 at once. Is that for you to find the X intercept and then 8 choose the answer choice that has that as a value on your, 9 um, like on the equation. So we know that X intercepts 10 are the solution for X one, 11 Y is zero. So we, 12 what we do here is we just plug in zero for Y. 13 So every time I see Y I'm going to plug in or replace 14 with zero, since we're multiplying, 15 that's gonna make our lives a lot easier because anything times zero is zero. 16 So we have X minus C squared and zero times two, 17 again, zero eight times zero, 18 zero minus 11 equals zero. 19 So obviously that's cancel out those zeros minus zero minus here, 20 doesn't do anything. So X minus 11 equals zero to 21 solve for X. We just get it by itself. So we add 11 to 22 both sides and we get X equals 11. 23 So our Y intercept is 11, 24 sorry. X intercept is 11. That's what they want to be a cost constant 25 or coefficient. And the only answer choice that has 11 in the equation is 26 a.