Writing quadratic functions Lesson

4 Slides • 5 Questions

1

Interactive Lesson

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Writing Quadratic Equations

Have your notebook nearby to show your work!

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Forms of Quadratic Functions

Vertex Form:
$y=a\left(x-h\right)^2+k$
Standard Form: $y=ax^2+bx+c$
Root Form: $y=x\left(x-r_1\right)\left(x-r_2\right)$

4

Multiple Choice

What form of a quadratic is given?

f\left(x\right)=2x^2+3x-4

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Vertex Form

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Standard Form

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Root Form

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Multiple Choice

What form of a quadratic is given?

f\left(x\right)=3\left(x-2\right)^2+4

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Vertex Form

2

Standard Form

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Root Form

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Fill in the Blanks

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8

Multiple Choice

Lets do another problem just to make sure we've got this.

Find the equation of a parabola that has a vertex at (2, -7) and goes through the point (3, -4).

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$y=\frac{3}{25}\left(x+2\right)^2-7$

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$y=3\left(x-2\right)^2-7$

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$y=3\left(x+2\right)^2-7$

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$y=\left(x-2\right)^2-7$

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Multiple Choice

Find the equation for a parabola that has a vertex at (3, 4) and goes through the point (2, 2).

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$y=\left(x-3\right)^2+4$

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$y=-\frac{2}{25}\left(x+3\right)^2+4$

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$y=-2\left(x-3\right)^2+4$

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$y=-2\left(x+3\right)^2-4$

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