#### Everything You Need in One Place

Homework problems? Exam preparation? Trying to grasp a concept or just brushing up the basics? Our extensive help & practice library have got you covered.

#### Learn and Practice With Ease

Our proven video lessons ease you through problems quickly, and you get tonnes of friendly practice on questions that trip students up on tests and finals.

#### Instant and Unlimited Help

Our personalized learning platform enables you to instantly find the exact walkthrough to your specific type of question. Activate unlimited help now!

##### Intros
###### Lessons
1. Different Ways to Solve Quadratic Functions
##### Examples
###### Lessons
1. A farmer wants to build a rectangular pig farm beside a river. He has 200 meters of fencing material, and there is no need for fencing on the side along the river. What are the dimensions of the largest pig farm this farmer can build?
1. The sum of two integers is 10, and the product is a maximum. Find the integers.
1. The sum of two integers is 10, and the sum of their squares is a minimum. Find the integers.
1. John stands on the roof of a building and throws a ball upwards. The ball's height above the ground is given by the formula: $h = - 3{t^2} + 12t + 15$, where h is the height in meters at t seconds after the ball is thrown.
1. How high is John above the ground when he throws the ball?
2. Find the height above the ground of the ball 1 second after the ball is thrown.
3. How long does it take for the ball to reach the maximum height?
4. Find the maximum height above the ground reached by the ball.
5. How long does it take for the ball to hit the ground?
2. A school Halloween dance charges \$5 for admission, and 200 students are willing to attend the dance. For every 25 cents increase in price, attendance drops by 4 students.
1. What price should the school charge to maximize the revenue?
2. How many students would need to attend the dance in order to generate the maximum revenue?
3. What is the maximum revenue?
###### Free to Join!
StudyPug is a learning help platform covering math and science from grade 4 all the way to second year university. Our video tutorials, unlimited practice problems, and step-by-step explanations provide you or your child with all the help you need to master concepts. On top of that, it's fun - with achievements, customizable avatars, and awards to keep you motivated.
• #### Easily See Your Progress

We track the progress you've made on a topic so you know what you've done. From the course view you can easily see what topics have what and the progress you've made on them. Fill the rings to completely master that section or mouse over the icon to see more details.
• #### Make Use of Our Learning Aids

###### Practice Accuracy

See how well your practice sessions are going over time.

Stay on track with our daily recommendations.

• #### Earn Achievements as You Learn

Make the most of your time as you use StudyPug to help you achieve your goals. Earn fun little badges the more you watch, practice, and use our service.
• #### Create and Customize Your Avatar

Play with our fun little avatar builder to create and customize your own avatar on StudyPug. Choose your face, eye colour, hair colour and style, and background. Unlock more options the more you use StudyPug.