### Create a StudySoup account

#### Be part of our community, it's free to join!

Already have a StudySoup account? Login here

# Intermediate Algebra MTH 95

PCC

GPA 3.98

### View Full Document

## 41

## 0

## Popular in Course

###### Class Notes

##### ANT 204 - 09 (Anthropology, Angela L Reed, Introduction to Cultural Anthropology)

###### Brooke Yaffa

verified elite notetaker

## Popular in Math

This 12 page Class Notes was uploaded by August Feeney on Monday October 19, 2015. The Class Notes belongs to MTH 95 at Portland Community College taught by Staff in Fall. Since its upload, it has received 41 views. For similar materials see /class/224653/mth-95-portland-community-college in Math at Portland Community College.

## Reviews for Intermediate Algebra

### What is Karma?

#### Karma is the currency of StudySoup.

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 10/19/15

Mr Simonds MTH 95 quadratic equationsparabolas Key Concepts Graphing form for quadratic equations he discriminant quadratic equations and parabolic intercepts The Factor Theorem Textbook sections and practice problems 84 1751 odd 86 114 all 4561 odd 87 1537 odd 4553 odd visualize the graph page 665 Introductory Activity Graph each of the following equations on your calculator and lest the requested information Produce each graph over the graphing Window 71010 x 71010 Equation Vertex Number of x intercepts Opens Up or Down y2x73275 y72x73275 y7x223 yx223 y ltxi4gt2 Look for patterns in the table What39s the difference between the equations that result in upward opening parabolas vs downward opening parabolas What determines the vertex Can you think of two different ways of determining the number of x intercepts Page 1 of8 Mr Simonds MTH 95 quadratic equationsparabolas The graphing form for a quadratic equation The equaTion y ax 7 h2 k where a 7 0 graphs To a parabola whose verTeX is The poinT 1116 and whose axis of symmeTry is The verTical line x h FurTherrnore if a gt 0 The parabola opens upwards and if a lt 0 The parabola opens downward Exam Qles DeTermine wiThouT graphing The verTeX axis of symmeTry opening orienTaTion and number of x inTercest for each of The following parabolas EquaTion VerTeXAxis Number of x inTercest Opens Up or Down y77x7628 yx24 yx2 10x76 Page 2 of 8 Mr Simonds MTH 95 quadratic equationsparabolas Equa rion Ver reXAxis Number of x inTercest Opens Up or Down y2x2 12x77 Equa rion Ver reXAxis Number of x inTercest Opens Up or Down y73x2 12x Page 3 of 8 Mr Simonds MTH 95 quadratic equationsparabolas Equa rion Ver reXAxis Number of x inTercest Opens Up or Down y7x277x77 Equa rion Ver reXAxis Number of x inTercest Opens Up or Down y72x212 Page 4 of 8 Mr Simonds MTH 95 quadratic equationsparabolas Exam Qles DeTermine wiThouT graphing The domain and range of each of The following funcTions Also sTaTe The minimum and maximum values of The funcTion fx7x 22 76 gt7t2 3t712 Page 5 of 8 Mr Sim onds MTH 95 quadratic equationsparabola Examples Find The equuTions for each of The following parabolus WriTe The equaTions in sTandard form is 75 r4 73 72 71 is 75 r4 73 Page 6 of B Mr Simonds MTH 95 quadratic equationsparabolas The discriminant The discriminanT of The funcTion y m2 bx C a i 0 is The expression b2 7 4010 If b274acgt0 If b274ac0 If b274aclt0 Then The equaTion Then The equaTion Then The equaTion axzbxc0has axzbxc0has m2bxc0 has 2 real number solufions 1 real number solufions 2 complex number solufions wifh imaginary numbers The parabola The parabola The parabola ywc2bxchas ywc2bxchas ywc2bxchas 2 x infercepfs 1 x infercepfs 0 x infercepfs FurTherrnore when b2 7 4010 gt 0 and b2 7 4010 is a perfecT square The soluTions To m2 bx C 0 are boTh raTional numbers buT when b2 7 4010 gt 0 and b2 7 4010 is a noT a perfecT square The soluTions To m2 bx c 0 are boTh irraTional numbers Exalees Use The discriminanT To deTerrnine The number and Types of zeros and number of horizonTal inTercest for each of The following funcTions gt7t27t4 hx3x2 x74 Page 7 of 8 Mr Simonds MTH 95 quadratic equationsparabolas The Factor Theorem If f is a polynomial funcTion of x Then 0 if and only if x 7 k is a facTor of Exam Qles Find a quadraTic equaTion whose soluTions are 2 and 73 wriTe The equaTion in sTandard form Find The formula for gt if g is a quadraTic funcTion wiTh The zeros 2 xg and 2 7 J5 wriTe The formula in sTandard form Find a quadraTic equaTion whose soluTions are 6 i 2139 wriTe The equaTion in sTandard form Find The formula for if f is a quadraTic funcTion whose only zero is O wriTe The formula in sTandard form Page 8 of 8 Mr Simonds MTH 95 complex rational expressions Key Concepts Division of Rational Expression Complex Rational Expressions Textbook sections and practice problems 61 61 71 odd 63 723 odd 3339 odd 4349 odd Division of rational expressions A istg C 7 B B D assumingB 0C 0andD 0 A D x B C ExamQIe1 2x73 Completely simplify Verify the simplified formula for x1 x Page 1 of8 Mr Simonds MTH 95 complex rational expressions Example 2 3f t Comple rely simplify Verify The simplified formula for t 2 t Exalee 3 3f H Comple rely Simplify Verify The Simplified formula for t 2 t Page 2 of 8 Mr Simonds MTH 95 complex rational expressions Complex Fractions A compexfraction is any fraction whose numerator ar39 denominator contains another fraction Simplifying complex rational expressions Strategy A Simplify add andor subtract as necessary the expressions in the numerator and denominator 2 Reciprocate the expression in the denominator and multiply with the expression in the numerator 3 Simplify the remaining expression Exam pie 4 2 i 26 3 x71 Completely simplify Verify the simplified formula for x 71 x x 3 Page 3 of 8

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

#### "I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

#### "Knowing I can count on the Elite Notetaker in my class allows me to focus on what the professor is saying instead of just scribbling notes the whole time and falling behind."

#### "It's a great way for students to improve their educational experience and it seemed like a product that everybody wants, so all the people participating are winning."

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.