Advanced Math practice question

Answer: A. (2, 3)

Set equal: x² − 1 = x + 1, so x² − x − 2 = (x − 2)(x + 1) = 0, x = 2 or −1. At x = 2, y = 3: (2, 3). (The other solution is (−1, 0).)

Why the other answers are wrong

B. (1, 0)

(1, 0) satisfies the parabola but not y = x + 1 (which gives 2).

C. (3, 8)

(3, 8) satisfies the parabola but the line gives 4.

D. (−1, 1)

(−1, 1) satisfies neither: the parabola gives 0, the line gives 0.

More Advanced Math questions

• Hard
  A population of bacteria doubles every 3 hours. If it starts at 500, which function models the population P af…
• Hard
  How many real solutions does x² + 4x + 5 = 0 have?
• Hard
  A car worth $20,000 loses 15% of its value each year. What is its value after 2 years?
• Hard
  An investment of $1,000 grows at 6% per year, compounded annually. Which expression gives its value after t ye…
• Hard
  If f(x) = x² − 1 and g(x) = x + 2, what is g(f(3))?
• Hard
  The parabola y = x² − 8x + 12 crosses the x-axis at two points. What is the x-coordinate of the vertex?