Characteristics of Quadratic Functions

The vertex of this quadratic function is at:

• $\left(0,\ -9\right)$

• $\left(-3,\ 0\right)$

• $\left(3,\ 0\right)$

• $\left(4,\ 5\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

The axis of symmetry on this quadratic function is at:

• $x=0$

• $y=0$

• $\left(0,\ 0\right)$

• $\left(0,\ -9\right)$

Tags

CCSS.HSF-IF.C.7A

The x-intercepts (also known as roots) of this quadratic function is at:

• $\left(-3,\ 0\right)\ and\ \left(3,\ 0\right)$

• $\left(0,\ -9\right)$

• $\left(-3,\ 0\right)$

• $-3,\ 3$

Tags

CCSS.HSF-IF.C.7A

This table is a quadratic function because:

• It has a constant ROC of $+2$ .

• It does not have a constant ROC, but a secondary pattern of
  

  $+2$ .

• It does not have a constant ROC, but a secondary pattern of $\times2$ .

• It is not a quadratic function.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.1

The vertex of this quadratic function is at:

• $\left(5,\ 1\right)$

• $\left(6,\ 0\right)$

• $\left(4,\ 0\right)$

• $\left(3,\ -3\right)$

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

The axis of symmetry on this quadratic function is at:

• $x=5$

• $y=5$

• $\left(5,\ 1\right)$

• $\left(6,\ 0\right)$

Tags

CCSS.HSF-IF.C.7A

The x-intercepts (also known as roots) of this quadratic function is at:

• $\left(4,\ 0\right)\ and\ \left(6,\ 0\right)$

• $\left(5,\ 1\right)$

• $4\ and\ 6$

• $\left(4,\ 6\right)$

Tags

CCSS.HSF-IF.C.7A

This table is a quadratic function because:

• It has a constant ROC of $-4$ .

• It does not have a constant ROC, but a secondary pattern of $-4$ .

• It does not have a constant ROC, but a secondary pattern of $\times\left(-4\right)$ .

• It is not a quadratic function.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.D.10

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

Remember: $ax^2+bx+c$ . This quadratic function opens...

• up b/c a is positive.

• up b/c a is negative.

• down b/c a is positive.

• down b/c a is negative.

Tags

CCSS.HSF-IF.C.7A

Remember: $ax^2+bx+c$ . This quadratic function opens...

• up b/c a is positive.

• up b/c a is negative.

• down b/c a is positive.

• down b/c a is negative.

Tags

CCSS.HSF-IF.C.7A