Transformation of Quadratics

If red represents y = x², which equation represents blue?

• y = 2x²

• y = -2x²

• y = -x²

• y = (x - 1)²

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

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Does the graph of this equation widen or narrow from the parent function?
y=  5(x - 5)² + 3

• widen

• narrow

• neither

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

• left 5

• right 5

• up 5

• down 5

Label how each number transforms the function

b

c

d

e

Left 3

Right 3

Reflected over the x-axis

Stretched by a factor of 2

Moves up 7

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

Tags

AI.9.6

The parent function, f(x), is transformed so that it maps into 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

• Reflection over x-axis

• None of these

Identify the possible functions that matches each specific transformation listed from the parent function f(x) = x^2

a

b

c

d

"a" causes the parabola to vertically ​ (a)   when a > 1.

• stretch

• compress