Worksheet: Evaluating Quadratic Functions

In this worksheet, we will practice evaluating quadratic functions.

Q1:

Which of the following is NOT a point on the curve 𝑦 = 1 2 𝑥 4 𝑥 ?

  • A ( 1 , 7 )
  • B 1 2 , 1
  • C ( 0 , 0 )
  • D 1 2 , 5
  • E ( 1 , 1 6 )

Q2:

Given the graph, evaluate 𝑔 ( 1 ) .

Q3:

The function 𝑓 ( 𝑥 ) = 8 𝑥 𝑏 and the function 𝑔 ( 𝑥 ) = 2 𝑥 𝑏 . Find 𝑓 ( 5 ) + 𝑔 ( 1 0 ) given 𝑓 ( 1 0 ) + 𝑔 ( 6 ) = 1 4 .

Q4:

Which of the following points is on the graph of the equation 𝑥 𝑦 = 8 ?

  • A ( 3 , 1 )
  • B ( 1 , 3 )
  • C ( 1 , 3 )
  • D ( 1 , 3 )

Q5:

Find the values of 𝑏 and 𝑐 given the function 𝑓 ( 𝑥 ) = 𝑥 + 𝑏 𝑥 + 𝑐 , and 𝑓 ( 𝑥 ) = 8 when 𝑥 { 3 , 5 } .

  • A 𝑏 = 3 2 , 𝑐 = 5
  • B 𝑏 = 5 , 𝑐 = 3
  • C 𝑏 = 2 , 𝑐 = 7
  • D 𝑏 = 3 , 𝑐 = 2

Q6:

Find the value of 𝑐 given the function 𝑓 ( 𝑥 ) = 𝑥 + 𝑐 passes through the point ( 7 , 8 ) .

Q7:

Find ( 1 0 ) given ( 𝑥 ) = 𝑎 𝑥 + 𝑏 𝑥 + 𝑐 where ( 5 ) = 3 5 and { 0 , 2 } is the set of zeros for ( 𝑥 ) .

Q8:

Which of the following is equivalent to 𝑓 2 6 + 1 for the function 𝑓 ( 𝑥 ) = 𝑥 2 𝑥 3 ?

  • A 1 0 𝑓 1 6
  • B 1 0 𝑓 1 2 6
  • C 𝑓 1 6
  • D 1 0 𝑓 1 6

Q9:

A study of 1 0 0 0 0 people was carried out to investigate the rate of infection of influenza. The number of infections, 𝑦 , occurring 𝑛 years after 2004 can be found using the equation 𝑦 = 2 . 5 𝑛 7 . 5 𝑛 + 9 0 9 . Calculate the number of infections in 2010 and 2012.

  • A900 persons, 913 persons
  • B884 persons, 839 persons
  • C884 persons, 884 persons
  • D774 persons, 689 persons

Q10:

An object is dropped from a height of 600 feet. It has a height ( 𝑡 ) in feet after 𝑡 seconds have elapsed such that ( 𝑡 ) = 6 0 0 1 6 𝑡 . Express 𝑡 as a function of height , and then calculate the time taken to drop to a height of 400 feet to one decimal place.

  • A 𝑡 = 6 0 0 1 6 , 3.5 seconds
  • B 𝑡 = 6 0 0 + 1 6 , 2 seconds
  • C 𝑡 = 6 0 0 1 6 , 0.88 seconds
  • D 𝑡 = 6 0 0 1 6 , 12.5 seconds
  • E 𝑡 = 6 0 0 + 1 6 , 7.9 seconds

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