Key Attributes of Quadratic Functions

The graph of the function  $f\left(x\right)=x^2-2x-3$  is shown.
What is the positive solution for the function  $f\left(x\right)?$   

(a)  

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

The graph of 4 functions were graphed on a coordinate plane.
 $g\left(x\right)=x^2-4x,\$   $h\left(x\right)=3x^2-18x+24,\$  
 $j\left(x\right)=-x^2+4x-6,\$  and  $k\left(x\right)=-x^2-2x+3$  
Which of the following functions has no roots?

•  $g\left(x\right),$   $h\left(x\right),$  and  $k\left(x\right)$  

•  $j\left(x\right)$  and  $k\left(x\right)$  

•  $j\left(x\right)$  only

• they all have roots

Tags

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

Rosie graphed a parabola by using the points shown on the table.

What is the axis of symmetry of the parabola?

• $x=-4$

• $x=2$

• $y=-4$

• $y=2$

Tags

CCSS.HSF-IF.C.7A

Which of the following parabolas has a vertex of  $\left(3,-3\right)?$  

• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7A

Which of the following is NOT true about the graph of  $y=\frac{1}{2}x^2+4x+6$  ?

• has a vertex of  $\left(-4,2\right)$  

• has a y-intercept of  $\left(0,6\right)$  

• has only 1 root

• has an axis of symmetry at  $x=-4$  

Tags

CCSS.HSA.REI.D.10

CCSS.HSA.REI.B.4

CCSS.HSA.APR.B.3

What is the vertex of the quadratic function shown?

• (5, 5)

• (-5, -5)

• (2, 0)

• (0, -2.5)

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

What is the equation for the axis of symmetry for the quadratic function shown?

• y = -3

• x = -3

• x = 5

• y = 5

Tags

CCSS.HSF-IF.C.7A

What is the range of the function shown?

• y < -1

• y > -1

• y ≥ -1

• y ≤ -1

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

What is the y-intercept of the quadratic function?

• 2

• 4

• -2

• 0

Tags

CCSS.HSF-IF.C.7A

What is the maximum value of the quadratic shown?

• 3

• 5

• -2

• 4

Tags

CCSS.HSF-IF.C.7A