Lesson Worksheet: Graphing Quadratic Functions Mathematics • 9th Grade

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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=𝑥+1?

  • A(a)
  • B(d)
  • C(b)
  • D(c)

Q2:

Which of the following graphs represents the equation 𝑦=(𝑥+4)?

  • A
  • B
  • C
  • D
  • E

Q3:

Which of the following graphs represents the equation 𝑦=−(𝑥−1)?

  • A
  • B
  • C
  • D
  • E

Q4:

Which of the following graphs represents the equation 𝑦=𝑥+3?

  • A
  • B
  • C
  • D
  • E

Q5:

Which of the following graphs represents the equation 𝑦=−5𝑥−10𝑥+6?

  • A
  • B
  • C
  • D
  • E

Q6:

Which of the following graphs represents the equation 𝑦=2(𝑥+3)−2?

  • A
  • B
  • C
  • D
  • E

Q7:

Which of the following graphs represents the equation 𝑦=(𝑥+4)(𝑥−2)?

  • A
  • B
  • C
  • D
  • E

Q8:

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

  • A𝑦=14(𝑥+2)−5
  • B𝑦=−14(𝑥+2)+5
  • C𝑦=14(𝑥+2)+5
  • D𝑦=−14(𝑥−2)+5
  • E𝑦=−14(𝑥+2)−5

Q9:

Write the quadratic equation represented by the graph shown.

  • A𝑦=(𝑥+7)
  • B𝑦=−(𝑥+7)
  • C𝑦=−𝑥(𝑥+7)
  • D𝑦=−𝑥+7
  • E𝑦=(𝑥−7)

Q10:

Write the quadratic equation represented by the graph shown.

  • A𝑦=−(𝑥−1)(𝑥+1)
  • B𝑦=−(𝑥−1)+3
  • C𝑦=(𝑥−1)(𝑥+3)
  • D𝑦=(𝑥−1)+3
  • E𝑦=−(𝑥+1)+3

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