Section C Section C Checkpoint

Problem 1

Write each equation in standard form, then identify the xx- and yy-intercepts in the graph of each.

  1. y=(x+1)(x−1)y = (x+1)(x-1)
  2. y=(1−x)(x+3)y = (1-x)(x+3)
Show Solution
Solution
  1. y=x2−1y = x^2 - 1. xx-intercepts: (-1,0),(1,0)(\text{-}1,0), (1,0). yy-intercept: (0,-1)(0,\text{-}1)
  2. y=-x2−2x+3y = \text{-}x^2 -2x+3. xx-intercepts: (1,0),(-3,0)(1,0), (\text{-}3,0). yy-intercept: (0,3)(0,3)
Show Sample Response
Sample Response
  1. y=x2−1y = x^2 - 1. xx-intercepts: (-1,0),(1,0)(\text{-}1,0), (1,0). yy-intercept: (0,-1)(0,\text{-}1)
  2. y=-x2−2x+3y = \text{-}x^2 -2x+3. xx-intercepts: (1,0),(-3,0)(1,0), (\text{-}3,0). yy-intercept: (0,3)(0,3)