Horizontal and Vertical Shifts of Quadratic Functions

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

• Horizontal shift left 7

• Horizontal shift right 7

• Vertical shift up 7

• Vertical shift down 7

Match the equation to its description

• Right 2 and up 2

• Right 2 and down 2

• Left 2 and up 2

• Left 2 and down 2

Which equation describes the transformation of shifting two units right?

• A vertical translation 4 units up

• A horizontal translation 4 units to the left

• A vertical translation 4 units down

• A horizontal translation 4 units to the right

• A vertical translation 4 units up

• A horizontal translation 4 units to the left

• A vertical translation 4 units down

• A horizontal translation 4 units to the right

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

What two things are needed to cause a quadratic equation to make a horizontal shift?

 

• add or subtract by a number

• parentheses and add or subtract by a number

• parentheses and multiply by number

• parentheses and your best friend

What is needed and not needed to cause a quadratic equation to make a vertical shift?

• parentheses and add or subtract by a number

• parentheses and divide by a number

• parentheses and multiply by number

• No parentheses and add or subtract by a number

If the blue is f(x)=x^2, then the red must be

• g(x)=x²-5

• g(x)=x²+5

• g(x)=(x-5)²

• g(x)=(x+5)²

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x)=f(x + 3)

• g(x)=f(x - 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2