Transformations of Quadratic Equation

Move the correct answer to each box. Not all answers will be used. ( (a)   , ​ (b)   )

• 3

• -9

• -3

• 0

• 9

Tags

AI.9.7.C

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Let the graph of g be a vertical stretch by a factor of 5 of the graph of f(x) = x². Write a rule for g.

• g(x) = 5x²

• g(x) = -5x²

• g(x) = x² + 5

• g(x) = (x + 5)²

Let the graph of g be a translation 7 units right and 12 units up of the graph of f(x) = (x + 3)² - 8. Write a rule for g.

• g(x) = (x - 4)² + 4

• g(x) = (x + 10)² + 4

• g(x) = (x - 4)² - 20

• g(x) = (x + 10)² - 20

Which transformation maps the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a reflection across the line x = -4

• a reflection across the line y = -4

• a translation shifting f(x) 4 units to the left

• a translation shifting f(x) 4 units to the right

Let the graph of g be a translation 7 units right and 12 units up of the graph of f(x) = x². Write a rule for g.

• g(x) = (x + 7)² + 12

• g(x) = (x + 12)² + 7

• g(x) = (x - 7)² - 12

• g(x) = (x - 7)² + 12

Let the graph of g be a translation 2 units down and 4 units left of the graph of f(x) = x². Write a rule for g.

• g(x) = (x - 4)² - 2

• g(x) = (x + 4)² - 2

• g(x) = (x - 4)² + 2

• g(x) = (x + 4)² + 2

For g(x) = (x - 10)² - 4, describe the transformation from the parent function.

• Slide left 10 and down 4 units

• Slide right 10 and down 4 units

• Slide left 10 and up 4 units

• Slide right 10 and up 4 units

What steps transform the graph y = x² to y = (x - 4)²

• Shifted down 4 units

• Shifted left 4 units

• Shifted right 4 units

• Shifted up 4 units