# Quadratic Functions

### Learn to graph parabolas using the vertex form!

## 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 Assistant instructor |

## 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