Chapter 2 Review

What is the general form for a Quadratic function?

• $ax^2+\ bx\ +\ c\ =\ 0$

• $x=-\frac{b}{2a}$

• $a\left(x\ -\ h\right)^2+k$

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

Identify the vertex and x-intercept(s)

 $f\left(x\right)\ =\ 25-x^2$  

• Vertex:  $\left(0,2\right)$   and x-int:  $\left(-2,\ 0\right)$  and  $\left(2,\ 0\right)$  

• Vertex:  $\left(0,0\right)$  and x-int:  $\left(0,0\right)$  

• Vertex:  $\left(0,25\right)$  and x-int:  $\left(-5,\ 0\right)$  and  $\left(5,0\right)$  

• Vertex:  $\left(0,25\right)$  and x-int: NO x-intercept

What is a POLYNOMIAL?

• Many terms and at least a variable.

• One term and one variable.

• Many terms and one variable.

• Many terms and many variables.

How do you find the vertex?

• $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

• $x=-\frac{b}{2a}$

• ( ___ , 0 )

• $x=\frac{b}{2a}$

What does the leading coefficient test tell you?

• It tells you NOTHING about the graph.

• Whether your graph will be POSITIVE or NEGATIVE.

• Where your x-intercepts will be.

• What DIRECTION your graph will face.

What are some ways to find x-intercepts and real zeros?

• Vertex Formula

• Factoring and or Quadratic Formula

• Completing the square

• All the above

When do you use Long division verses Synthetic Division?

• Whenever you want.

• Only when you have fractions.

• When you have a simple monomial.

• None of the above.

What is the vertex form for a Quadratic Function?

• $ax^{2\ }+\ bx\ +\ c\ =\ 0$

• $x\ =\ -\frac{b}{2a}$

• $a\left(x-h\right)^{2\ }+k$

• $x=\ \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

What do the exponents tell us about a Function?

• How many lines we will have on our graph.

• What our graph will look like when drawn.

• How many turning points we will have.

• All the above.

What is a MAXIMUM point?

• If a $>$ , then $x=-\frac{b}{2a}$

• If a $<$ , then $x=\ -\frac{b}{2a}$

• If a = 0, then $x=\ -\frac{b}{2a}$

• None of the above.