Transformations of Quadratics

Which function has a translation of 2 units right and a vertical stretch by a factor of 5?

• f(x)= 5(x - 2)²
• f(x) = 5(x + 2)²
• f(x) = (x - 2)² - 5
• f(x) = (x + 2)² + 5

Which function has a translation of 7 units down, 1 unit right and reflects over the x-axis?

• f(x) = -(x - 7)² + 1
• f(x) = (x + 7)² + 1
• f(x) = -(x - 1)² - 7
• f(x) = (x + 1)² - 7

Which transformation transforms the graph of

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

• shift 4 units up

• shift 4 units down

• shift 4 units to the left

• shift 4 units to the right

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

• g(x) = x² - 5
• g(x) = x² + 5
• g(x) = (x - 5)²
• g(x) = (x + 5)²