Graphing Quadratics in Intercept Form Lesson Slides

9 Slides • 6 Questions

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2.B.2 - Quadratics in Intercept form and Converting between forms

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Ex 1: Finding key features in intercept form without graphing

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Fill in the Blanks

Find the vertex

$y=2\left(x-1\right)\left(x-11\right)$

Type answer...

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Ex 2: Quadratic Models in Intercept Form

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Fill in the Blanks

Write a quadratic equation in intercept form that is narrower than $y=x^2$ has x-ints. of $\left(5,0\right)$ and $\left(0,0\right)$ and has end behavior: As $x\rightarrow-\infty,\ y\rightarrow+\infty$ and As $x\rightarrow+\infty,\ y\rightarrow+\infty$

Type answer...

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a) How far is the football kicked?

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b) What is the football's maximum height? Round to the nearest tenth if necessary.

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Ex 4: Provide the requested information

x-int(s): y-int(s):

vertex: Min/Max:

Equation in Intercept form:

Equation in Vertex form:

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The three forms of quadratic equations are:

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Ex 5: Write the following equations in standard form.

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Ex 5: Write the following equations in standard form.

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Multiple Choice

Write the following equations in standard form:

$y=-3x\left(x-8\right)$

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$y=5x^2+15x$

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$y=20x$

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$y=6x+3$

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$y=5x+15$

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Multiple Choice

Write the following equations in standard form:

$y=5\left(x-2\right)\left(x+4\right)$

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$y=5x^2+10x-40$

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$y=5x^2-40$

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$y=25x^2-50x+10$

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$y=10x+10$

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Multiple Choice

Write the following equations in standard form:

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

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$f\left(x\right)=x^2+6x+9$

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$f\left(x\right)=x^2+9$

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$f\left(x\right)=2x+6$

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$f\left(x\right)=x^2+6x$

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Open Ended

How can I help:

What two math ideas are you having the most trouble with today?

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2.B.2 - Quadratics in Intercept form and Converting between forms

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