wk 3 Thurs Test

Given f(x) = (x −3)² + 5. What transformations took place from the original function f(x) = x² ?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

Identify the transformation from the graph of f(x) = x²

to the graph

g(x)= −(x+5)²

• shifted up five units

  reflection in x-axis

• shifted down five units

  reflection in x-axis

• shifted left 5 units

  reflection x-axis

• shifted right 5 units

  reflection x-axis

Describe the transformations

− f(x + 6) − 10

• Reflect over y-axis

  Shifted down 10 units

  Shifted left 6 units

• Reflect over x-axis

  Shifted up 10 units

  Shifted left 6 units

• Reflect over x-axis

  Shifted down 10 units

  Shifted left 6 units

Given f(x) = (x−3)² + 5. What transformations took place from the original function f(x) = x² ?

• Left 3 and up 5

• Right 3 and down 5

• Left 3 and down 5

• Right 3 and up 5

If the blue function is f(x)=x², then the red function must be

• g(x) = x²−5

• g(x) = x²+5

• g(x) = (x−5)²

• g(x) = (x+5)²

Match the equation to its description.

• Right 2 and up 2
• Left 2 and up 2
• Right 2 and down 2
• Left 2 and down 2

Describe the transformation of y = f(x) for the new function

y = f(x) − 5

• The graph of y = f(x) was shifted to the right 5 units.

• The graph of y = f(x) was shifted to the left 5 units.

• The graph of y = f(x) was shifted up 5 units.

• The graph of y = f(x) was shifted down 5 units.

Which quadratic function is represented by the graph?

• y = 2(x - 4)² + 5
• y = 2(x + 4)² + 5
• y = -2(x - 4)² + 5
• y = -2(x + 4)² + 5

.

If the blue is f(x)=x^2, the red must be

• g(x) = (x+3)²

• g(x) = (x − 3)²

• g(x) = x²+3

• g(x) = x²−2

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