Shifts in Quadratic Functions Intro

Describe the transformations of f(x) when compared to the parent function.
f(x)=(x+7)²

• horizontal shift left 7 units

• horizontal shift right 7 units

• vertical shift up 7 units

• vertical shift down 7 units

Which equation describes the transformation of shifting f(x)=x² two units right?

• x² + 2

• x² - 2

• (x + 2)²

• (x - 2)²

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

• a vertical translation 4 units up

• a vertical translation 4 units down

• a horizontal translation 4 units to the left

• a horizontal translation 4 units to the right

Which equation below is a quadratic function translated left 4 units?

• y = x² + 4

• y = (x + 4)²

• y = (x - 4)²

• y = 4x²

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

• Left 2 and up 5

• Right 2 and down 5

• Left 2 and down 5

• Right 2 and up 5

If given the equation
y = 3(x + 5)² - 4,
what is the vertex of the parabola?

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

A horizontal shifts move a function...

• up or down

• left or right

Given that the black line is f(x)=x², describe the transformation of the blue line.

• shift up 3 units

• shift down 3 units

• shift right 3 units

• shift left 3 units

Given that the black line is f(x)=x², describe the transformation of the blue line.

• shift up 4 units

• shift down 4 units

• shift right 4 units

• shift left 4 units

Given that the black line is f(x)=x², which expression best represents the blue line?

• f(x) + 1

• f(x) - 1

• f(x + 1)

• f(x - 1)