Quadratic Transformation

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

f(x) is transformed so that it maps onto 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

What is the vertex form of a quadratic function?

• f(x) = 2a(x - h)² + k

• f(x) = a(x - h)² + k

• f(x) = (x + h)² + k

• f(x) = a(x - h) - k

In the vertex form f(x) = a(x - h)² + k , what does the 'a' value do?

• Shifts the function left or right

• Changing 'a' value has no affect on the parent function

• Vertical stretch or compression

• Shifts the function up or down

The graph of quadratic parent function f was transformed to create the graph of e(x). Which two equations represent the translation on the graph? (Place the f(x) version in the second spot).

Tags

AI.9.6

a

b

c

d

e

up

left

reflected

down

right

Label how each number transforms the function

b

c

d

e

Left 3

Stretched by a factor of 2

Reflected over the x-axis

Right 3

Moves up 7

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

a

b

c

d

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

• stretch

• compress

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²