Transformations of Quadratic Functions

Question 1

This parabola opens , so the standard form of the equation for this parabola is

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to the right

Question 2

Question 2

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Answer image: https://media.edgenuity.com/EVresources/3111-03-51-10-03-task/mc001-1.jpg

Question 3

The equation of the directrix is , and the focus is (, ). This means that p =

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x = –2

Question 4

The equation of the directrix is , and the focus is (, ). This means that p =

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2

Question 5

The equation of the directrix is , and the focus is (, ). This means that p =

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0

Question 6

The equation of the directrix is , and the focus is (, ). This means that p =

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2

Question 7

The equation of the parabola is .

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y² = 8x

Question 8

Find the equation of the parabola with its vertex at the origin and focus at (–3, 0).

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Answer image: https://media.edgenuity.com/EVresources/3111-03-51-10-05-task/mc001-2.jpg

Question 9

The standard form for this parabola is

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Answer image: https://media.edgenuity.com/EVresources/3111-03-51-10-08-task/mc001-2.jpg

Question 10

The vertex is given at (2, −1), which tells us that h = , and k = .

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2

Transformations of Quadratic Functions Answers