Transformations on Quadratic Functions Vertex Form

In the image, what is the value of the maximum?

• There is no maximum value

Tags

CCSS.HSF-IF.C.7A

• Horizontal translation left

• Vertical shrink

• Vertical translation down

• Horizontal translation right

• Vertical stretch

Tags

CCSS.HSF.BF.B.3

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

How did we transform from the parent function y = x² to y = -1/5(x - 1)² + 7 ?

• reflection, vertical compression, horizontal right, vertical up

• vertical compression, horizontal shift left, vertical shift up

• reflection, horizontal shift right, vertical shift down

• no changes were made to y = x²

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = -f(x - 2) - 3 , what is the vertex of g(x)?

• (-6, -8)

• (-2, 2)

• (-2, -2)

• (-2, -8)

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

• 5

• -2

• -5

• 2

• 0

Which of the following describes the transformations that occurred from y = x² to obtain the graph of y = 2x² + 4?

• narrower by 2 and translation up 4

• wider by 2 and translation up 4

• narrower by 2 and translation left 4

• wider by 2 and translation right 4