1/7 Alg2: Standard Form of a Quadratic Equation
Presentation
•
Mathematics
•
9th - 12th Grade
•
Easy
Kourtney Kukowski
Used 9+ times
FREE Resource
13 Slides • 4 Questions
1
Standard Form of a Quadratic Equation
2
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?
3
Learning Target
I can find the vertex of a quadratic equation in standard form.
4
How can you find the vertex of a quadratic function written in standard form?
5
Use vertex form to derive standard form
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7
Very simply put...
8
Poll
What is the value of the x-coordinate ( h ) of the vertex?
f(x)=x2−8x+5
h=−2ab
1
4
-4
-8
9
Poll
What is the value of the x-coordinate ( h ) of the vertex?
f(x)=x2−6x+10
h=−2ab
h=1
h=3
h=−3
h=−6
10
11
12
Poll
Recall the quadratic function f(x)=x2−8x+5 .
We solved for the x-coordinate of the vertex: h=4 .
Use the fact that f(h)=k to SOLVE FOR k .
k=−11
k=−23
k=−19
13
Application for those interested in business
14
Open Ended
Make a prediction: What will be the maximum profit?
15
What is the maximum profit the company can expect to earn?
16
Debrief
17
Great work! Move to Google Classroom and COMPLETE YOUR EXIT TICKET.
Standard Form of a Quadratic Equation
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