Transformations of Quadratic Equation

Which of the following functions best represents the transformation below?

• Reflection across x-axis and vertical stretch

• Vertical shift of two units down

• Reflection across x-axis and vertical compression

• Reflection across x-axis and vertical shift of two units up

• Vertical Shift 14 units up

• Vertical shift 14 units down

• Horizontal shift 14 units right

• Horizontal shift 14 units left

The quadratic function 𝑘 is wider and also 10 units above the quadratic function 𝑗. Which pair of functions could represent 𝑗 and 𝑘?

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

• stretch

• compress

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

• g(x)=f(x - 3)

• g(x)=f(x + 3)

• g(x)=f(x) + 3

• g(x)=f(x) - 2

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

a

b

c

d

a

b

c

d

e

reflected

left

down

right

up

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

• compress

• stretch

Label how each number transforms the function

b

c

d

e

Left 3

Right 3

Reflected over the x-axis

Stretched by a factor of 2

Moves up 7