Create a Quiz. The academic subject for which the text must be created - Mathematics. Content must be appropriate for Year or Grade 10. Requ...
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Which subjectMathematics
What age groupYear or Grade 10
What topicEquation and graph of Parabola
Question typesMixed
Number of questions10
Number of answers4
Correct answersExactly 1
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Year 10 Mathematics Quiz: Equations and Graphs of Parabolas

Instructions

Please answer each question to the best of your ability. Where applicable, choose the correct answer from the options provided.


1. The image of a parabolic graph that opens upwards, with its vertex at the origin (0,0) and crossing the y-axis at the point (0,1). What is the equation of this parabola?


2. The image of a downward-opening parabola, vertex at the point (2,3), and crosses the x-axis at (1,0) and (4,0). What is the standard form of this parabola's equation?


3. The image of a parabola that opens upwards with its vertex located at (-1,-4) and passing through the point (0,-3). How would you express its vertex form?


4. The image of a parabolic curve opening downwards, depicted touching the x-axis at one point (the vertex) and having its vertex at (3,-2). Which of the following equations represents the parabola?


5. The image of a parabola with the equation ( y = 2x^2 - 8x + 6 ). What is the vertex of this parabola?


6. The image of a vertically positioned parabola that opens upwards, stretching from the vertex at (0,0) and crossing the y-axis at (0,-1). What is the equation of this parabola?


7. The image of a parabola that opens upwards, whose vertex is located at (1,2) and opens through the point (1,4). What would the correct equation of this parabola likely be?


8. The image of a parabola, vertex at (-2, 1), passing through the point (0, 5). Which equation represents this parabola?


9. The image of a parabola that intersects the x-axis at (1,0) and (3,0) and has its vertex at (2,-4). What is its equation in standard form?


10. The image of a parabola that opens upwards, vertex at the origin (0,0) and intersects the point (2,8). What is the equation of this parabola?


Answer Key

  1. B
  2. A
  3. ( y = (x + 1)^2 - 4 )
  4. B
  5. (1, -1)
  6. D
  7. ( y = (x - 1)^2 + 2 )
  8. A
  9. (2, -4)
  10. A