Graph f(x)=ax^2 and End Behavior of Functions

Determine end behavior of function with the given graph

Identify the vertex and whether the graph points up or down.

• (-1, 4); points up

• (-1, 4); points down

• (1, 4); points up

• (1, 4); points down

What are the green dots called?

• axis of symmetry

• vertex

• parabola

• roots or x-intercepts

Tags

CCSS.HSF-IF.C.7A

What is the green dashed line called?

• roots or x-intercepts

• parabola

• axis of symmetry

• line of dashes

Tags

CCSS.HSF-IF.C.7A

What is the green dot on the parabola called?

• vertex

• root

• dot

• minimum value

What is the range of the function?

• y < -1

• y > -1

• y < -2

• y > -2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

Convert the equation y= x² + 4x + 11 into vertex form.

• y = (x + 2)² - 4

• y = (x + 2)² + 7

• y = (x + 2)²

• y = (x - 2)² - 7

What is the vertex of the function

f(x) = x² - 6x + 10?

• (3,-1)

• (3,1)

• (-3,1)

• (-3,-1)

For this graph complete the following end behavior: As x --> -∞, f(x) --> _(A)_

As x --> +∞, f(x) --> _(B)_

• A= -∞

  B= -∞

• A= +∞

  B= -∞

• A= -∞

  B= +∞

• A= +∞

  B= +∞

For this graph complete the following end behavior: As x --> -∞, f(x) --> _(A)_

As x --> +∞, f(x) --> _(B)_

• A= -∞

  B= -∞

• A= +∞

  B= -∞

• A= -∞

  B= +∞

• A= +∞

  B= +∞