Quadratic Functions Transformations

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

• f(x)= 2(x-3)²

• f(x)= 2(x+3)²

• f(x)= 2x²+3

• f(x)= (x-2)²+3

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

Tags

CCSS.HSF-IF.C.7A

What is the horizontal shift of this equation?
y = -(x + 3)² - 5

• left 3

• right 3

• left 5

• right 5

• Right 2 and up 2

• Left 2 and up 2

• Right 2 and down 2

• Left 2 and down 2

Identify the correct transformation from the blue graph to the red graph.

• Right three and down four

• Left three and up four

• Right four and up three

• Left four and down three

• Reflected over x, right 2 and up 1

• Reflected over x, left 2 and up 1

• Reflected over x, right 2 and down 1

• Reflected over x, left 2 and down 1

How did we transform from the parent function?

• reflection across the y-axis, vertical compression by 1/5, right 1, up 7

• reflection across the x-axis, vertical compression by 1/5, right 1, up 7

• reflection across the y-axis, vertical stretch by 1/5, right 1, up 7

• reflection across the y-axis, vertical compression by 1/5, left 1, down 7

What transformations occurred to get f(x), the red graph, to become g(x), the blue graph?

• horizontal shift down and vertical shift left

• horizontal shift left and vertical shift down

• horizontal shift right and vertical shift up

• horizontal shift up and vertical shift right

Match the description to its equation:

• A

• B

• C

• D

• A

• B

• C

• D