Transformations of Vertex

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²

• f(x) = 5(x + 2)²

• f(x) = (x - 2)² - 5

• f(x) = (x + 2)² + 5

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1

• f(x) = (x + 7)² + 1

• f(x) = -(x - 1)² - 7

• f(x) = (x + 1)² - 7

Which transformations were applied to form the red graph from the blue graph?

• shrink, left 4, down 5

• stretch, left 4, down 5

• reflection, left 4, down 5

• reflection, shrink, left 4, down 5

Which equation shows a translation of 3 units left, 2 units down, and a vertical stretch, to the graph of 𝑦=𝑥2 ?

• 𝑦= 1/2 (𝑥−3)²−2

• 𝑦= 1/2 (𝑥+3)²−2

• 𝑦= 2 (𝑥−3)²−2

• 𝑦= 2 (𝑥+3)²−2

Which equation shows the transformation of 𝑦=𝑥² with a translation 5 units right?

• 𝑦=(𝑥+5)²

• 𝑦=(𝑥−5)²

• 𝑦=𝑥²−5

• 𝑦=𝑥²+5

Determine the transformation 

• left 3, up 2

• right 3, up 2

• left 3, down 2

• right 3, down 2

Determine the transformation

• Left 5, up 1

• Left 5, down 1

• Right 5, up 1

• Right 5, down 1

Choose the correct vertex for the function f(x) = 5|x-10| - 5

• (-10,5)

• (-10,-5)

• (10,-5)

• (10,5)

What is the axis of symmetry for the function f(x) = 4|x+2| - 5 ?

• x = -2

• x = 2

• x = 4

• x = -5

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down