Transforming Quadratica

If the blue is f(x)=x^2, the red must be

• g(x)=(x + 3)²

• g(x)=(x - 3)²

• g(x)=x² + 3

• g(x)=x² - 2

Which function has a translation of 3 units to the left?

• f(x) = 3x²+1

• f(x) = (x + 3)² + 1

• f(x) = (x - 3) ²+ 1

• f(x) = (x + 1)²- 3

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

Which function has a translation of 7 units down and reflects over the x-axis?

• f(x) = -(x - 7)² + 1

• f(x) = (x + 7)² + 1

• f(x) = -(x - 1)² - 7

• f(x) = (x + 1)² - 7

Label how each number transforms the function

b

c

d

e

Stretched by a factor of 2

Right 3

Moves up 7

Left 3

Reflected over the x-axis

a

b

c

d

Vertical Dilation

Horizontal Translation

Vertical Translation

Horizontal Dilation

Describe the Transformation of the function; ​ (a)  

• Vertical Compression

• Vertical Stretch

• Horizontal Shift RIGHT

• Horizontal Shift LEFT

• Reflection over the X-Axis

• Vertical Shift DOWN

• Vertical Shift UP

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

• stretch

• compress

Label the graphs with the correct transformation compared to the parent function f(x)=x^2

a

b

c

d

e

reflected

left

up

right

down

• up 3

• down 3

• right 1

• left 1

• downward

• upward