1/7 Alg2: Standard Form of a Quadratic Equation

Presentation

•

Mathematics

•

9th - 12th Grade

•

Easy

Kourtney Kukowski

Used 9+ times

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13 Slides • 4 Questions

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}

-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?

Type response here

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

Debrief

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

Standard Form of a Quadratic Equation

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