Quadratic Functions Translations

Name the parent function.

• quadratic

• cubic

• square root

• logarithmic

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

Name the parent function.

• linear

• quadratic

• absolute value

• exponential

Which of the following does NOT contain a horizontal translation LEFT of y = x²?

• y = 2(x - 5)² + 3

• y = -2(x + 5)² - 3

• y = (3x + 2)² + 5

• y = -3(x + 2)² - 5

• f(x)= x + 13

• f(x) = (x + 10)² + 3

• f(x) = (x - 3)² - 10

• f(x) = x - 13

Which transformation transforms the graph of f(x) = x² to the graph of g(x) = (x + 2)²+9

• left 2 and down 9

• right 2 and up five

• left 2 and up 9

• left 9 and up 2

• f(x)= x + 4

• f(x) = (x + 4)² + 7

• f(x) = (x + 7)² - 4

• f(x) = x - 7

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

Which of the following does NOT contain a vertical translation DOWN of y = x²?

• y = 2(x - 5)² - 3

• y = -5(x + 3)² - 2

• y = (3x - 2)² + 5

• y = -3(x - 2)² - 5

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