How to write a word problem involving quadratic function

After this lesson, you will be able to:

Yes, I know it's tough.

You've finally mastered factoring and using the quadratic formula and now you are asked to solve more problems! Except these are even more tough. Now you have to figure out what the problem even means before trying to solve it.

I completely understand and here's where I am going to try to help! There are many types of problems that can easily be solved using your knowledge of quadratic equations.

You may come across problems that deal with money and predicted incomes financial or problems that deal with physics such as projectiles. You may also come across construction type problems that deal with area or geometry problems that deal with right triangles. Lucky for you, you can solve the quadratic equations, now you just have to learn how to apply this useful skill.

Quadratic equation word problems worksheet with answers

On this particular page, we are going to take a look at a physics "projectile problem". The equation that gives the height h of the ball at any time t is: Find the maximum height attained by the ball. Let's first take a minute to understand this problem and what it means.

Quadratic Equation Word Problems Worksheet with Answers - Problems

So, the value of the above infinite square problem is 5.

We know that a ball is being shot from a cannon. So, in your mind, imagine a cannon firing a ball. We know that the ball is going to shoot from the cannon, go into the air, and then fall to the ground. So, here's a mathematical picture that I see in my head. Now let's talk about what each part of this problem means.

In our equation that we are given we must be given the value for the force of gravity coefficient of t2. Now that you have a mental picture of what's happening and you understand the formula given, we can go ahead and solve the problem.

First, ask yourself, "What am I solving for? What part of the parabola is this?Write a word problem involving a quadratic function. How would you explain the steps in finding the solution to someone not in this class?

Response 1. Quadratic Function Word Problems Practice General idea regarding projectile motion: 1.

Rational Functions, Equations and Inequalities – She Loves Math

The force of gravity pulling it back down (always ft/sec; m/sec coefficient of the squared term) 2. The initial velocity (v0) at which it was thrown/dropped (always goes with the middle term) Write the function for the height of this object at. Word Problems Involving Quadratics These word problems involve situations I've discussed in other word problems: The area of a rectangle, motion (time, speed, and distance), and work.

However, these problems lead to quadratic equations.

Number Problems with Two Variables

Oct 16,  · Word Problem Involving Functions; If this is your first visit, be sure to check out the FAQ by clicking the link above. but I was unsure of how to write a formula with V as a function of the width. My teacher said we should write a formula.

Any insight would be .

Work Problems:

For a parabolic mirror, a reflecting telescope or a satellite dish, the shape is defined by a quadratic equation. Quadratic equations are also needed when studying lenses and curved mirrors.

And many questions involving time, distance and speed need quadratic . Solving word problems involving quadratic equations quadratic equation word problem example height of a ball you solve quadratic equations by factoring algebra test.