Welcome back from spring break!

Tutoring: See me for times as schedule is not set for the week

Assessments: Test is likely on Friday

Monday

Welcome back from break! Today, we look at your heartrate and the medicine problem.

Help: ( not much on the web here)

HW; None

Tuesday

Today, we look at the building problem and the TV problem.

Help:http://www.metric-conversions.org/length/feet-to-meters.htm

HW; None

Wednesday

It is TV problem day two.

Help:https://www.quora.com/How-does-one-calculate-a-televisions-height-and-width-based-on-its-diagonal-length-and-aspect-ratio

HW; None

Thursday

Review day!

Help:http://www.metric-conversions.org/

HW; Study for test

Friday

Test day!

HW; None

Have a great weekend!

Ms. Harrell

Tutoring: Tuesday afternoon

Assessments: Unit test is Friday

Monday

Welcome back from break! Today, we look at add and subtract rational expressions

Help:http://www.mesacc.edu/~scotz47781/mat120/notes/rational/add_subtract/add_subtract.html

HW; None

Tuesday

It is rational equations today

Help:http://www.purplemath.com/modules/solvrtnl.htm

HW; None

Wednesday

It is rational equations day two today, be ready to find the LCD of all 3 denominators and applications.

Help:https://www.youtube.com/watch?v=Y6x06SBbEcA

HW; None

Thursday

It is application wrap up and review day.

Help:https://www.khanacademy.org/math/algebra2/rational-expressions-equations-and-functions/modeling-with-rational-functions/v/applying-rational-equations-1

HW; None

Friday

Test day!

Help:http://tutorial.math.lamar.edu/Classes/Alg/RationalExpressions.aspx

HW; None
Algebra 1

Transform means change, and these transformations change the simple quadratic $y=x^2$`y`=`x`2 into other quadratics by moving (translations), flipping (reflecting) and making the graph appear more or less steep (dilating).

By using the above applet, step through these instructions.

- Start with the simple quadratic $y=x^2$
`y`=`x`2
- Dilate the quadratic by factor of $2$2.
- Reflect on the $x$
`x` axis
- Translate vertically by $2$2 and horizontally by $-3$−3 units.

How has the graph changed? Can you visualize the changes without using the applet? What is the resulting equation?

##
Equations and Transformations of Quadratics

Transformations of quadratics will change the equation of the quadratic. Here are some of the most common types of quadratic equations, and what they mean with regards to the transformations that have occurred.

$y=ax^2$`y`=`a``x`2

If $a<0$`a`<0 (that is $a$`a` is negative) then we have a reflection parallel to the $x$`x` axis. It's like the quadratic has been flipped upside down.

Shows the reflection of

$y=x^2$`y`=`x`2 to $y=-x^2$`y`=−`x`2

Shows the reflection of

$y=\left(x-1\right)\left(x+2\right)$`y`=(`x`−1)(`x`+2) to $y=-\left(x-1\right)\left(x+2\right)$`y`=−(`x`−1)(`x`+2)

$y=ax^2$`y`=`a``x`2

This is a quadratic that has been dilated vertically by a factor of $a$`a`

If $\left|a\right|>1$|`a`|>1 then the graph is steeper than $y=x^2$`y`=`x`2

If $\left|a\right|<1$|`a`|<1 then the graph is flatter than $y=x^2$`y`=`x`2.

$y=ax^2+k$`y`=`a``x`2+`k`

In the graph $y=ax^2+k$`y`=`a``x`2+`k`, the quadratic has been vertically translated by $k$`k` units.

If $k>0$`k`>0 then the translation is up.

If $k<0$`k`<0 then the translation is down.

$y=\left(x-h\right)^2$`y`=(`x`−`h`)2

The $h$`h` indicates the horizontal translation.

If $h>0$`h`>0, that is the factor in the parentheses is $\left(x-h\right)$(`x`−`h`) than we have a horizontal translation of $h$`h` units right.

If $h<0$`h`<0 , that is the factor in the parentheses is $\left(x--h\right)=\left(x+h\right)$(`x`−−`h`)=(`x`+`h`) than we have a horizontal translations of $h$`h` units left.

##
Source: https://mathspace.co