Find the axis of symmetry and vertex of y = ax² + bx + c

Question 1

Find the vertex of y = 3x² + 12x + 16. Type it like (2, −1).

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Question 2

A drone's height (m) after t seconds is h = −5t² + 50t − 88. What is its maximum height?

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Question 3

Find the axis of symmetry of y = −2x² − 8x − 11. Give the value of x.

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Question 4

Find the vertex of y = x² + 4x + 9. Type it like (2, −1).

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Question 5

A drone's height (m) after t seconds is h = −t² + 4t + 7. What is its maximum height?

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Question 6

Find the axis of symmetry of y = 2x² + 24x + 78. Give the value of x.

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Question 7

Find the vertex of y = −x² + 8x − 24. Type it like (2, −1).

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Question 8

A drone's height (m) after t seconds is h = −2t² + 16t − 19. What is its maximum height?

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Question 9

Find the axis of symmetry of y = x² + 2x + 5. Give the value of x.

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Question 10

Find the vertex of y = 3x² − 30x + 75. Type it like (2, −1).

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Question 11

A drone's height (m) after t seconds is h = −t² + 4t + 7. What is its maximum height?

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Question 12

Find the axis of symmetry of y = 3x² + 30x + 71. Give the value of x.

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Question 13

Find the vertex of y = −x² + 6x − 6. Type it like (2, −1).

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Question 14

A company's daily cost (in hundreds) is C = 2n² − 16n + 53, where n is hundreds of items made. What is the minimum cost (in hundreds)?

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Question 15

Find the axis of symmetry of y = 2x² − 12x + 22. Give the value of x.

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Question 16

Find the vertex of y = −2x² − 20x − 45. Type it like (2, −1).

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