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Algebra 2 Review

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  • Graph the inverse of the graph, where is the vertex at now?
    (1, -4)
  • If an absolute value graph has the vertex at the origin, where is there origin located? At what coordinate point?
    (0,0)
  • Solve the absolute value inequality: 2| x + 3 | +4 ≤ 6
    -4 ≤ x ≤ -2
  • This symbol: > means that a graphed absolute value inequality looks like what?
    The solutions face away from each other. They're walking away.
  • What does the A mean in a translation?
    Vertical Stretch or Compression
  • How many solutions does an absolute value equation have?
    2
  • What does D mean in a translation?
    Shifts the graph up or down.
  • What are the 4 steps to solving for an inverse function?
    1. Change f(x) to y, 2. Switch the x and y values, 3. Solve for y, 4. Change the y back to f-1(x)
  • The infinity sign always gets a parenthesis or bracket?
    (
  • What are the domain values?
    The x values.
  • This symbol: ≤ means that a graphed absolute value inequality looks like what?
    The solutions meet in the middle
  • Draw an absolute value graph with a maximum at (0, 3)
    y=-|x|+3
  • Draw an absolute value graph with a minimum at (0,-2)
    y=|x+2|
  • How do I find the inverse of the points (3, -6) and (1, 9)
    Flip the x and y's...... (-6, 3) and (9, 1)
  • Is range the x or y values?
    y-values
  • What does the B mean in a translation?
    Horizontal Stretch or Compression
  • When writing the domain and range it's always from what?
    smallest to largest
  • Find the inverse of y=(1/2)x+7
    f − 1 ( x ) = 2 x − 14
  • What does the C mean in a translation?
    Shifts the graph right or left
  • What is the translation of the graph y= -|x-3|-4
    Reflect over the x-axis, shifts right 3, down 4