Vertex Form of a Quadratic

Identify the correct graph for the following equation:

 $y=\ -\ \left(x+2\right)^2+3$  

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

What is the vertex of the parabola?

f(x) = 3 (x + 5)² - 4,

• (5, -4)

• (-5, -4)

• (-15, -4)

• (15, -4)

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

Does this parabola have a maximum or minimum value?

f(x)= - (x - 4)² - 3,

• Maximum

• Minimum

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

A parabola has a vertex at (-3,2).

Where is the axis of symmetry?

• y = -2

• x = 3

• x = -3

• -3

Tags

CCSS.HSF.IF.C.7

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

 $f\left(x\right)=\frac{1}{4}\left(x+5\right)^2+2$  

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

Identify the domain:

 $f\left(x\right)=\ -2\left(x+1\right)^2+5$  

•  $\left(-\infty,\infty\right)$  

•  $\left(-\infty,5\right)$  

•  $\left(5,\infty\right)$  

•  $\left(-\infty,1\right)$  

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.A.2

CCSS.HSF.IF.B.5

Identify the range:

 $f\left(x\right)=\ -2\left(x+1\right)^2+5$  

•  $\left(-\infty,\infty\right)$  

•  $\left(-\infty,5\right)$  

•  $\left(5,\infty\right)$  

•  $\left(-\infty,1\right)$  

Tags

CCSS.HSF.IF.C.7

CCSS.HSF.IF.B.4

CCSS.HSF.IF.A.1

Determine the interval in which this function is DECREASING.

• (-3, ∞)

• (-3, - ∞)

• (-∞, ∞)

• (-∞, -3)

Tags

CCSS.HSF-IF.C.7A

Determine the interval in which this function is INCREASING.

• ( 3 , ∞ )

• (-3, ∞ )

• ( ∞, -3 )

• (-∞, -3 )

Tags

CCSS.HSF-IF.C.7A

Write the equation of a quadratic that opens down and is translated left 3 units and up 4 units

• $f\left(x\right)=\ \left(x+3\right)^2+4$

• $f\left(x\right)=\ \left(x-3\right)^2+4$

• $f\left(x\right)=\ -\ \left(x+3\right)^2+4$

• $f\left(x\right)\ =\ -\ \left(x+3\right)^2-4$

Tags

CCSS.HSF.BF.B.3