Zeros of the Quadratic Functions

 Find the roots/zeros of  x² + x - 2 = 0

• {-2,1}

• {2, -1}

• {2, 1}

• {-2, -1}

What are the zeros of the parabola? 

• 3, 0

• -6, 1

• 1, 5

• 3, -5

What are the zeros of the function, f(x) = x2 - 5x - 6?

• {-2, 3}
  

• {-3, -2}

• {-6, 1}

• {-1, 6}

What are the x- intercepts?

• x = 0 and x = -4
  

• x = 2

• x = 0 and x = 4

• y = 0
  

How many solutions does this graph have?

• one
  

• two

• no solutions

• can not be determined

How many solutions does this graph have?

• one
  

• two

• no solutions

• can not be determined

How many zeros does this parabola have? 

• 3

• 2
  

• 1

• 0

Define Zero

• Where the parabola touches or intersects the x- axis, also called the x-intercept.

• A line that divides the graph into two equal parts, wherein the other half reflects the other.
  

• The highest or lowest point on the graph. 
  

• Where the parabola touches or intersects the y-axis.
  

Find the quadratic function given the following zeros:
x = -3 and x = -8 

•  $f\left(x\right)\ =\ x^2\ -11x\ +\ 24\$  

•  $f\left(x\right)\ =\ x^2\ +11x\ +24$  

•  $f\left(x\right)\ =\ x^2\ +24x\ +24$  

•  $f\left(x\right)\ =\ x^2\ -24x\ +\ 11$  

Find the quadratic function given the following zeros:

x = 3 and x = -6 

•  $f\left(x\right)\ =\ x^2\ -3x\ -18\$  

•  $f\left(x\right)\ =\ x^2\ +3x\ +18\$  

•  $f\left(x\right)\ =\ x^2\ +3x\ -18\$  

•  $f\left(x\right)\ =\ x^2\ -3x\ +\ 18$