Quadratic Functions
Learn to graph parabolas using the vertex form!
Learning Goals
- Learn to graph using the vertex form equation, which is y=a(x-h)+k
- Learning how to use a table of values to create parabolas
- Learn how to graph transformations of the parabolas and mapping notation
The unit in summary
Elisha
- Head instructor
- Leading the lesson
Ms.Dhaliwal
- Elisha's Math teacher
- Taught him everything he knows
- Creator of references to parabolas, and word problems.
Loven
Frequently asked questions
- No, there are two others but they will not be covered right now
- No, the y-intercept can any point in which the parabola crosses the y- intercept
We are here to help
Email: elisha2000@hotmail.ca
Graphing parabolas
Solving quadratic equations with word problems
1. What is the maximum height of the ball?
Ans. Find the vertex, the y-value is the maximum height y=k
2. At what time did the ball reach the maximum height?
Ans. Find the vertex, the x-value is the time when the max height occurred x=h
3. What was the initial height of the ball?
Ans. Set x=0 and solve for y or Find the y-intercept
4. How long was the ball in the air?
Ans. Set y=0 and solve for x or Find the x-intercept
5. When did the ball hit the ground?
Ans. Same as previous question
7. What is the height of the ball at 3 seconds?
Ans. Sub the x-value into the equation to solve for y.sub t into the equation to solve for h.
(t=x, h=y, basically x and t represent the same thing, which is time and h reps the same thing as y, which is height.)
Information provided by Ms.Dhaliwal