Functions Practice

What is the equation of the graph?

• y = √(x - 3)
• y = √(x) + 3
• y = √(x - 5) + 4
• y = √(x + 5) + 4

Which equation represents this graph.

• f(x)=(x - 4)² - 3
• f(x)=-(x - 4)² + 3
• f(x)=(x - 4)² + 3
• f(x)=-(x + 4)² + 3

• Shifts up 3.

• Shifts left 3.

• Vertical stretch by a factor of 3.

• Shifts right 3.

• y = (x - 2)² + 2
• y = (x + 2)² + 2
• y = (x - 2)² - 2
• y = -(x - 2)² + 2

Identify the equation of the transformed function (which is (g(x)) ?

• g(x)= √(x+2)+4

• g(x)=4 √(x-2)

• g(x)= √(x-2)+4

• g(x)= √(x-2)

vertical reflection, horizontal stretch

• g(x) = ½f(-x)

• g(x) = -f(¼x)

• g(x) = -3f(x)

• g(x) = -f(4x)

If the blue graph is f(x), the red must be...

• g(x) = f(x + 3)

• g(x) = f(x - 3)

• g(x) = f(x) + 3

• g(x) = f(x) - 2

• Vertical stretch

• Vertical shrink

• Translation 5 units right

• Translation 5 units left

• Translation 6 units right

• Translation 6 units left

• Translation 4 units up

• Translation 4 units down

• Reflection over the x-axis

• Translation 4 units left

• Translation 4 units up

• Translation 3 units left

• Translation 3 units down