Transformations Part 2 Practice

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

Let the graph of g be a translation 7 units right and a reflection in the x-axis of the graph of f(x) = x². Write a rule for g.

• g(x) = -(x - 7)²

• g(x) = (x - 7)²

• g(x) = -(x + 7)²

• g(x) = (x + 7)²

Let the graph of g be a vertical stretch by a factor of 3 and a reflection in the x-axis of the graph of f(x) = x² + 2. Write a rule for g.

• g(x) = 3x² + 6

• g(x) = -3x² - 6

• g(x) = -3x² - 2

• g(x) = 3x² + 2

How does the graph of f(x) = (x + 3)² + 5 compare to the graph of
g(x) = (x - 1)² - 4.

• f(x) is shifted 4 left and 9 up from g(x)
• f(x) is shifted 4 to the right and 9 down from g(x)
• f(x) is shifted 3 left and 5 up from g(x)
• f(x) is shifted 4 left and 9 down from g(x)

What is the equation of the quadratic function obtained from horizontally shifting the quadratic parent function 17 units left and then reflecting across the x-axis?

• f(x)= -x²-17

• f(x)= -(x-17)²

• f(x)= -(x+17)²

• f(x)= -x²+17

What is the equation of the quadratic function obtained from vertically shrinking/compressing the parent function by 3/5 and then shifted up 8 units?

• f(x)= 3/5(x-8)²
• f(x)=3/5x²+8
• f(x)=x²
• f(x)=3/5x²-8

What is the equation of the quadratic function obtained from vertically shifting up 3 units and then stretching the parent function by a factor of 2?

• f(x)= 2x²+3

• f(x)= (x+2)²+3

• f(x)= 2x²+6

• f(x)= (x-2)²+6

Transform f(x) = -2(x - 2)² + 6 by shifting f(x) left 4 units, up 2 units, and then stretch by a factor of 5. What is the resulting equation?

• y = -10(x + 2)² + 40

• y = -10(x - 4)² + 40

• y = -10(x + 2)² + 8

• y = -10(x - 4)² + 8

When the function f(x) = -5(x + 7)³ + 8 is translated 3 units left and then reflected, it gives another function g(x). Choose the correct form of g(x).

• g(x) = 5(x + 10)³ - 8

• g(x) = 5(x + 10)³ + 8

• g(x) = 5(x + 4)³ - 8

• g(x) = 5(x + 4)³ + 8

Tags

CCSS.HSF.BF.B.3