Standard Factored and Vertex Form

Given the equation for this parabola:
 y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

• Maximum

• Minimum

Tags

CCSS.HSF-IF.C.7A

Identify the interval of increase and decrease of the following quadratic equation. f(x) = -4(x - 6)² - 7

• Interval of Increase: (6,∞)

  Interval of Decrease: (−∞, 6)

• Interval of Increase: (−∞, -7)

  Interval of Decrease: (-7, ∞)

• Interval of Increase: (−∞, 6)

  Interval of Decrease: (6, ∞)

• Interval of Increase: (-7,∞)

  Interval of Decrease: (−∞, -7)

Match the equation with the correct Form.

• Vertex Form

• Factored Form

• y = (x - d) ( x - g)

• Standard Form

What can you easily find from the vertex form: y = (x -5)² + 3

• X intercept: (5, 3)

• x intercept: ( 0, -5)

• vertex: (5, 3)

• vertex : ( -5, 3)

What can you identify from the factored form: y = (x + 7) ( x - 3) ?

• y intercepts: ( 0, 7) ( 0, -3)

• x-intercepts : ( 0, 7) ( 0, 3 )

• x-intercepts: ( 7, 0 ) ( -3, 0 )

• x intercepts: ( -7, 0 ) ( 3, 0)

Tags

CCSS.HSF-IF.C.7A

What is/are the x-intercepts?

• ( 0,-4) ( 0, 2)

• ( -4, 0 ) ( 2, 0)

• ( 0,-3)

• ( -3, 0 )

Tags

CCSS.HSF-IF.C.7A

Is this a Minimum or Maximum ?

What is/are the y-intercept/s?

• ( -3, 0)

• ( 1, -4)

• ( 3, 0) ( -1, 0)

• (0, -3)

Tags

CCSS.HSF-IF.C.7A

Convert to factored form:

f(x) = x²+3x-18

• (x-6)(x+3)

• (x+6)(x+3)

• (x+6)(x-3)

• (x-6)(x-3)

Convert to Factored Form:

x² - 10x + 24

• (x - 6)(x - 4)

• (x + 6)(x + 4)

• (x - 12)(x + 2)

• (x - 8)(x - 3)

Tags

CCSS.HSA-REI.B.4B