Maths-
SAT
Easy

Question


The graph of the function f defined by f left parenthesis x right parenthesis equals 1 fourth left parenthesis x plus 4 right parenthesis squared equals 5 is shown. The graph passes through the points (-10, a) and (a, b), where a and b are constants. What is the value of b ?

  1. 4
  2. 9
  3. 11
  4. 16

The correct answer is: 11


    f left parenthesis x right parenthesis space equals space 1 fourth open parentheses x plus 4 close parentheses squared minus 5
    (- 10, a) & (a, b) passes through f (x)
    a equals 1 fourth open parentheses negative 10 plus 4 close parentheses squared minus 5
minus 1 fourth open parentheses negative 6 close parentheses squared minus space 5 equals space 1 fourth left parenthesis 36 right parenthesis space minus space 5 equals 9 minus 5 equals 4
    a = 4
    (4,b) passes through f (x)
    b equals 1 fourth open parentheses 4 plus 4 close parentheses squared minus space 5
    equals space 1 fourth 64 minus 5 equals 16 minus 5 equals 11

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