Transformation of Quadratic Functions

• Maximum

• Left 5

• Down 8

• vertical shrink

• Minimum

• Right 5

• Up 8

• Vertical Stretch

• No Vertical Shift

f

g

e

d

• up 3

• down 3

• right 1

• left 1

• downward

• upward

• Maximum

• Left 5

• Down 8

• vertical shrink

• Minimum

• Right 5

• Up 8

• Vertical Stretch

• No Vertical Shift

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

a

b

c

d

Changing the c value of a standard form quadratic (y=ax²+bx+c) transforms the graph how?

• Up and down

• Left or right

• Reflects over x axis

• Up only

• Creates a change in the universe that is so chaotic it creates a new galaxy

Comparing h(x)=-5x²-1 to the parent function f(x)=x², determine which transformation DOES NOT occur.

• Reflection over the x-axis

• Vertical stretch by a factor of 5

• Down 1 unit

• Reflected over the y-axis

For a graph to be wider, the a value must be

• Very large number, regardless of sign

• Very small number, regardless of sign

• Negative number

• a=0

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

How is the graph of y = 2x²+ 3 different from the graph of y = 2x²?

• It is shifted 3 units left.

• It is shifted 3 units right.

• It is shifted 3 units down.

• It is shifted 3 units up.