Writing the Equation for a Quadratic Graph

Writing Quadratic Equations

Open Ended

How was everyone's spring break? Tell me something good. Be school appropriate. :)

Let's recap: Quadrat

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Labelling

Label the key pieces of a quadratic graph.

Drag labels to their correct position on the image

Roots

Quadrat

X-Intercept

Zero

Vertex

Y-intercept

Let's recap this in Vertex Form

Let's begin by labeling important pieces of the equation!!!

What is the vertex coordiante point?

Is it a Maximum or Minimum?

Drag and Drop

Drag and drop the correct labels of the following equation: $$f\left(x\right)=3\left(x+6\right)^2-4$$ ​ ​

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Drag these tiles and drop them in the correct blank above

Minimum

(-6,-4)

(6,-4)

Maximum

Drag and Drop

Drag and drop the correct labels of the following equation: $$f\left(x\right)=-4\left(x-10\right)^2$$ ​ ​

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Drag these tiles and drop them in the correct blank above

Maximum

(10,0)

Minimum

(6,-4)

Open another tab, go to green Desmos

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Math Response

Now your turn, what is the standard form of the following equation: $$g\left(x\right)=3\left(x+2\right)^2$$

Type answer here

Correct Answer: 3x^2+12x+12

Deg^°

Rad

Math Response

Now your turn, what is the standard form of the following equation: $$h\left(x\right)=-\left(x-1\right)^2-8$$

Type answer here

Correct Answer: -1x^2+2x-9

Deg^°

Rad

What if you only have a word problem?

What is your standard form equation?

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What if you only have a word problem?

What is your standard form equation?

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You did it!!!!!