Lesson Worksheet: Graphing Quadratic Functions Mathematics • 9th Grade

In this worksheet, we will practice graphing any quadratic function that is given in its standard, vertex, or factored form using the key features of the graph of the function.

Q1:

Which of the following graphs represents 𝑦=π‘₯+1?

  • A(a)
  • B(d)
  • C(b)
  • D(c)

Q2:

Which of the following graphs represents the equation 𝑦=(π‘₯+4)?

  • A
  • B
  • C
  • D
  • E

Q3:

Which of the following graphs represents the equation 𝑦=βˆ’(π‘₯βˆ’1)?

  • A
  • B
  • C
  • D
  • E

Q4:

Which of the following graphs represents the equation 𝑦=π‘₯+3?

  • A
  • B
  • C
  • D
  • E

Q5:

Which of the following graphs represents the equation 𝑦=βˆ’5π‘₯βˆ’10π‘₯+6?

  • A
  • B
  • C
  • D
  • E

Q6:

Which of the following graphs represents the equation 𝑦=2(π‘₯+3)βˆ’2?

  • A
  • B
  • C
  • D
  • E

Q7:

Which of the following graphs represents the equation 𝑦=(π‘₯+4)(π‘₯βˆ’2)?

  • A
  • B
  • C
  • D
  • E

Q8:

Which of the following is the equation of the function drawn on the graph?

  • A𝑦=14(π‘₯+2)βˆ’5
  • B𝑦=βˆ’14(π‘₯+2)+5
  • C𝑦=14(π‘₯+2)+5
  • D𝑦=βˆ’14(π‘₯βˆ’2)+5
  • E𝑦=βˆ’14(π‘₯+2)βˆ’5

Q9:

Write the quadratic equation represented by the graph shown.

  • A𝑦=(π‘₯+7)
  • B𝑦=βˆ’(π‘₯+7)
  • C𝑦=βˆ’π‘₯(π‘₯+7)
  • D𝑦=βˆ’π‘₯+7
  • E𝑦=(π‘₯βˆ’7)

Q10:

Write the quadratic equation represented by the graph shown.

  • A𝑦=βˆ’(π‘₯βˆ’1)(π‘₯+1)
  • B𝑦=βˆ’(π‘₯βˆ’1)+3
  • C𝑦=(π‘₯βˆ’1)(π‘₯+3)
  • D𝑦=(π‘₯βˆ’1)+3
  • E𝑦=βˆ’(π‘₯+1)+3

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