Quadratic Transformations Change A and C

Given f(x) = -x² , how did we transform from the parent function?

• Horizontal shift left

• Reflection over the x-axis

• Vertical shift down

• Vertical compression

How did we transform from y=x^2?

y = -3x²

• vertical reflection and vertical shift down

• vertical reflection and vertical stretch

• horizontal stretch

• vertical reflection and vertical compression

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function f(x)= x² g(x)= (x−3)²

• Vertex moves 5 up

• Vertex moves 3 down

• Vertex moves 3 to the right

• Stretched by a factor of 3

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function

• Vertex moves 2 up

• Vertex moves 2 to the right

• Reflected over the x-axis

• Stretched by a factor of 2

Describe the change shown in the graph and equation. f(x) is the parent function and g(x) is the new function f(x)= x² g(x)= (x+2)² − 3

• Moved 3 to the right and 2 up

• Moved 2 to the left and 3 down

• Stretched by a factor of 3 and moved 2 to the left

• Compressed (shrunk) by a factor of 2 and moved 3 down

Write the equation for g(x), the parabola in blue.

• g(x)= x² + 3

• g(x)= (x + 3)²

• g(x)= (x − 3)²

• g(x)= 3x²

Given f(x) = (x + 6)² - 2 , how did we transform from the parent function?

• Horizontal shift left 6, vertical shift up 2

• Horizontal shift left 6, vertical shift down 2

• Horizontal shift right 6, vertical shift down 2

• Horizontal shift right 6, vertical shift up 2

• A

• B

• C

• D

Describe the transformations from f(x)=x² to g(x)=1/4x²+4

• Reflected across x axis, up 4 units

• Vertical shrink by 1/4, up 4 units

• Vertical stretch by 4, up 4 units

• Vertical string by 1/4, left 4 units

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