A2 2-1 Vertex Form (part 2)

A2 2-1 Vertex Form (part 2)

by Erica Nafziger

​Given a function in vertex form, can you.....

​Find key features of the function y = 2(x - 3)² + 4 ?

​

​Describe the translation... how was it "moved"?

Multiple Choice

​Find key features of the function y = 2(x - 3)² + 4 ?

​

​Describe the translation... how was it "moved" LEFT OR RIGHT?

• 3 units left

• 3 units right

• 4 units right

• 4 units left

• 2 units right

Multiple Choice

​Find key features of the function y = 2(x - 3)² + 4 ?

​

​Describe the translation... how was it "moved" up or down?

• 3 units up

• 3 units down

• 4 units up

• 4 units down

• 2 units up

Multiple Select

​Find key features of the function y = 2(x - 3)² + 4 ?

​

​Describe the translation... how was it "shaped"?

• smile

  (arms up)

• frown

  (arms down)

• stretched by a  factor of 2

• compressed by a factor of 2

• stretched by a factor of 4

​Given a function in vertex form, can you.....

​Find key features of the function y = 2(x - 3)² + 4 ?

​

​Describe the translation... how was it "moved"?

​

ANSWER summary:

​translated up 4 units, right 3 units, and stretched by a factor of 2

​Given a function in vertex form, can you.....

​Find key features of the function y = 2(x - 3)² + 4 ?

​

​Draw the graph?

​

​How do we do that?

​Where would we start?

Open Ended

Given  the function y = 2(x - 3)² + 4 ?

​

What might be the first step if we wanted to plot a graph? 

​Given a function in vertex form, can you.....

​Find key features of the function y = 2(x - 3)² + 4 ?

​

​Draw the graph?

​

​How do we do that?

​Where would we start?

​Given a function in vertex form, can you.....

​Find key features of the function y = 2(x - 3)² + 4 ?

​

​What is the Vertex?

​Axis of Symmetry?

​Minimum OR Maximum?

​Domain?

​Range?

Multiple Choice

Given the function y = 2(x - 3)² + 4 ?

​

​What is the Vertex?

• (-3, 4)

• (3, 4)

• (-3, -4) 

• (3, -4)

Multiple Choice

Given the function y = 2(x - 3)² + 4 ?

​

​What is the Axis of Symmetry?

• x = 2

• x = 3

• x = -3

• x = 4

• x = -4

Multiple Select

Given the function y = 2(x - 3)² + 4 ?

​

​What is the MINIMUM or MAXIMUM?

• Y = 2

• Y = 3

• Y = 4

• minimum

• maximum

Multiple Choice

Given the function y = 2(x - 3)² + 4 ?

​

​What is the DOMAIN?

• $$\left[-\infty,\infty\right]$$  

• $$\left(-\infty,\infty\right)$$  

• (3,4)

• [3, 4]

• (6, 4)

Multiple Choice

Given the function y = 2(x - 3)² + 4 ?

​

​What is the RANGE?

• $$\left[-\infty,\infty\right]$$  

• $$\left(-\infty,\infty\right)$$  

• (3,4)

• $$\left[4,\infty\right)$$  

• $$\left(-\infty,4\right]$$  

​Given a function in vertex form, can you.....

​Given a function in vertex form, can you.....

​Given vertex and a point, can you.....

​Write an equation in Vertex form given vertex of (1, 2) and point (2, -5)

​

​What piece of information are we missing in order to be able to write a vertex form equation?

Open Ended

Given vertex of (1, 2) and point (2, -5)

​

​What piece of information are we missing in order to be able to write a vertex form equation?

​Given vertex and a point, can you.....

​Write an equation in Vertex form given vertex of (1, 2) and point (2, -5)

​

​What piece of information are we missing in order to be able to write a vertex form equation?

​

​We do not have A!

​

​But we do have an X and Y!

​Given vertex and a point, can you.....

​Write an equation in Vertex form given vertex of (1, 2) and point (2, -5)

​

​What piece of information are we missing in order to be able to write a vertex form equation?

​

​We do not have A!

​

​But we do have an X and Y!

​So given a vertex and a point, we can plug both of those into the VERTEX FORM and solve for 'a'.

​Then write an equation!

Open Ended

Write an equation in Vertex form given vertex of (1, 2) and point (2, -5).

Do your work on scratch paper then Type a Vertex form equation into the box.

​

​Given vertex and a point, can you.....

Given vertex form, can you.....

Given vertex form, can you.....