Quadratic Transformations Beginning

Which equation matches the following transformation: up 4, stretched 3, reflected down, and left 1

What is the vertex form of a quadratic function?

• f(x) = 2a(x-h)² + k

• f(x) = a(x-h)² + k

• f(x) = (x+h)² + k

• f(x) = a(x-h) - k

a

b

c

d

e

down

right

up

reflected

left

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

• stretch

• compress

a

b

c

d

Vertical Translation

Horizontal Dilation

Horizontal Translation

Vertical Dilation

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

• compress

• stretch

Move the correct answer to each box. Not all answers will be used. ( (a)   , ​ (b)   )

• 3

• -9

• -3

• 0

• 9

Tags

AI.9.7.C

The parent function, f(x), is transformed so that it maps into g(x). Which equation would correctly represent g(x)?

(a)  

• g(x)=f(x - 3)

• g(x)=f(x + 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2