1/7 Alg2: Standard Form of a Quadratic Equation

Standard Form of a Quadratic Equation

• Did Jordan rewrite the equation correctly? Did Emery? 

• Without rewriting the equation, how could you prove that Jordan or Emery’s equations are not equivalent to the original?

Learning Target

I can find the vertex of a quadratic equation in standard form.

How can you find the vertex of a quadratic function written in standard form?

Use vertex form to derive standard form

Very simply put...

Poll

What is the value of the x-coordinate ( $h$ ) of the vertex?

 $f\left(x\right)=x^2-8x+5$  

 $h=-\frac{b}{2a}$  

• 1

• 4

• -4

• -8

Poll

What is the value of the x-coordinate ( $h$ ) of the vertex? 

 $f\left(x\right)=x^2-6x+10$  

 $h=-\frac{b}{2a}$  

•  $h=1$  

•  $h=3$  

•  $h=-3$  

•  $h=-6$  

Poll

Recall the quadratic function $f\left(x\right)=x^2-8x+5$ .
We solved for the x-coordinate of the vertex:  $h=4$  .


Use the fact that  $f\left(h\right)=k$  to SOLVE FOR  $k$  . 

•  $k=-11$  

•  $k=-23$  

•  $k=-19$  

Application for those interested in business

Open Ended

Make a prediction: What will be the maximum profit?

What is the maximum profit the company can expect to earn?

Debrief

Great work! Move to Google Classroom and COMPLETE YOUR EXIT TICKET.