Quadratic Functions and Transformations

• up 3

• down 3

• right 1

• left 1

• downward

• upward

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

a

b

c

d

• compress

• stretch

• Maximum

• Left 5

• Down 8

• vertical shrink

• Minimum

• Right 5

• Up 8

• Vertical Stretch

• No Vertical Shift

• (h,k) = (-3,-2)

• 
• (h,k) = (2,-3)

• 
• (h,k) = (-2,3)

• 

Describe the transformations of f(x) when compared to the parent function.
f(x)=x²+5

• horizontal shift right 5 units

• horizontal shift left 5 units

• vertical shift up 5 units

• vertical shift down 5 units

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

• Vertical stretch by a factor of 5

• Vertical shrink/compress by a factor of 5

• Reflect over x-axis

• Vertical shift up 5 units

Which of the following quadratic functions has the WIDEST graph?

• f(x)= -3x²

• h(x)= 2x²

• g(x)= ¼x²  

• p(x)= 4x²

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• y = 2