Transformation of a Quadratic

Match the equation to its description.

• Reflected over x and up 4

• Reflected over x and down 4

• Reflected over x and right 4 

• Reflected over x and left 4

Match the description to its equation.
Moves down 1
Moves right 1

• A

• B

• C

• D

Which transformation transforms the graph of
f(x) = x² to the graph of g(x) = (x + 4)²?

• a vertical shift 4 units up

• a vertical shift 4 units down

• a horizontal shift 4 units to the left

• a horizontal shift 4 units to the right

Which of the following describes the transformations done to the quadratic parent function of f(x) = x² to obtain g(x) = 2x² + 4 ?

• Vertical Stretch by a factor of 2 and vertical shift up 4 units

• Vertical Compress by a factor 2 and vertical shift up 4

• Vertical Stretch by a factor of 2 and horizontal shift left 4 units

• Vertical Compress by a factor of 2 and horizontal shift right 4 units

What is the equation of the quadratic function obtained from horizontally shifting the parent function 17 units left and then reflecting across the x-axis?

• f(x)= -x²-17

• f(x)= -(x-17)²

• f(x)= -(x+17)²

• f(x)= -x²+17

What is the equation of the quadratic function obtained from vertically compressing the parent function by a factor of 0.5 and then reflecting across the x-axis?

• f(x)= 0.5x²

• f(x)= -0.5x²

• f(x)= -(x-0.5)²

• f(x)= x²+0.5

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

• left 3

• right 3

• left 5

• right 5

If the blue graph is
f(x) = x² 
the red must be...

• g(x) = (x + 3)²

• g(x) = (x - 3)²

• g(x) = x² + 3

• g(x) = x² - 2

If the yellow curve has equation f(x)=x²,

• Then the blue curve is f(x) = x² - c

• Then the blue curve is f(x) = (x+c)²

• Then the blue curve is f(x) = (x-c)²

• Then the blue curve is f(x) = x² + c

Which describes the transformation of the graph of f(x)=x²+2 to the graph of g(x)=(-3x)²+2

• A horizontal compression without reflection

• A horizontal stretch without reflection.

• A vertical compression without reflection

• A vertical stretch and a translation