8-4 Transformations of Quadratic FunctionsLesson

DO NOW:

Identify the key attributes of the given function and graph it.

f(x) = 5 (x - 2)²

➔ Vertex:

➔ Maximum/Minimum:

➔ AOS:

➔ Domain:

➔ Range:

Open Ended

Identify the key attributes from the previous slide of the given function.

f(x) = 5 (x - 2)²

Draw

Graph the previous function.

f(x) = 5 (x - 2)²

DO NOW:

Identify the key attributes of the given function and graph it.

f(x) = - (x + 8)² + 3

➔ Vertex:

➔ Maximum/Minimum:

➔ AOS:

➔ Domain:

➔ Range:

Open Ended

Identify the key attributes from the previous slide of the given function.

f(x) = - (x + 8)² + 3

Draw

Graph the previous function.

f(x) = - (x + 8)² + 3

➔

I can identify & graph the

transformations of a quadratic

function from its parent

function

8 - 4: Transformations
of Quadratic Functions

Quadratic Parent Function

The parent function for
a quadratic function is
the equation:

f(x) = x²

VERTEX

(0 , 0)

Open Ended

How did the graph change from y = x² to
y = x² + 2?

Open Ended

How did the graph change from y = x² to
y = x² - 2?

Open Ended

How did the graph change from y = x² to
y = (x + 2)² ?

Open Ended

How did the graph change from y = x² to
y = (x - 2)² ?

Open Ended

How did the graph change from y = x² to
y = -x² ?

Open Ended

How did the graph change from y = x² to
y = 2x² ?

Open Ended

How did the graph change from y = x² to
y = 1/2 x² ?

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Multiple Choice

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

• g(x) = x² - 5

• g(x) = x² + 5

• g(x) = (x - 5)²

• g(x) = (x + 5)²

Multiple Choice

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x) = x² - 3

• g(x) = x² + 3

• g(x) = (x - 3)²

• g(x) = (x + 3)²

Multiple Choice

Compare the function y = 0.3x² to the parent function y = x²

• Wider

  (Vert. Compress)

• Narrower

  (Vert. Stretch)

Multiple Choice

Compare the function y = 5x² to the parent function y = x²

• Wider

  (Vert. Compress)

• Narrower

  (Vert. Stretch)

Multiple Choice

Match the equation to its description.

• Reflected over x, right 2 and up 1
• Reflected over x, left 2 and up 1
• Reflected over x, right 2 and down 1
• Reflected over x, left 2 and down 1

Multiple Choice

Describe the transformation of y = 3(x - 3)² + 3

• Narrow, Right, Up
• Narrow, Left, Down
• Wide, Right, Up
• Wide, Left, Down

Multiple Choice

How did we transform from the parent function?
g(x) = -1/5(x - 1)² + 7

• reflection, vertical compression, horizontal right, vertical up
• vertical compression, horizontal shift left, vertical shift up
• reflection, horizontal shift right, vertical shift down
• no changes were made to y = x²

➔

I can identify & graph the

transformations of a quadratic

function from its parent

function

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