Quadratic Polynomial is of the Form $ax^2 + bx+c$. Geometrically it is represented by the Parabola on the Graph. The zeroes or the root of the quadratic are the point on x-axis where it intersect the x-axis. Here in this post of Quadratic graphs worksheet , we have asked upon few questions based on these concept only. I hope this is help in your preparation
Quadratic graphs worksheet
- Identify the zeroes of the below quadratic graphs
a.
![Quadratic graphs worksheet](https://physicscatalyst.com/article/wp-content/uploads/2019/07/quadratic-graphs-worksheet-1.png)
b.
![](https://physicscatalyst.com/article/wp-content/uploads/2019/07/quadratic-graphs-worksheet-2.png)
c.
![](https://physicscatalyst.com/article/wp-content/uploads/2019/07/quadratic-graphs-worksheet-3.png)
2. Identify the quadratic function or equation of the below graphs
a.
![](https://physicscatalyst.com/article/wp-content/uploads/2019/07/quadratic-graphs-worksheet-4.png)
b.
![Quadratic graphs worksheet](https://physicscatalyst.com/article/wp-content/uploads/2019/07/quadratic-graphs-worksheet-5.png)
c.
![](https://physicscatalyst.com/article/wp-content/uploads/2019/07/quadratic-graphs-worksheet-6.png)
3.
Match the column
![Quadratic graphs match the column](https://physicscatalyst.com/article/wp-content/uploads/2019/07/quadratic-graphs-worksheet-7-300x292.png)
![](https://physicscatalyst.com/article/wp-content/uploads/2019/07/quadratic-graphs-worksheet-8.png)
4. Draw the Graph of the below quadratics
(a) $x^2 -7x +10$
(b) $x^2 +x -2$
(c) $x^2-9x+20$
5. Which of the follow does not have real roots
![Which of the follow quadratic graphs does not have real roots](https://physicscatalyst.com/article/wp-content/uploads/2023/02/Quadratic-graphs-worksheet-fig-2.png)
Answer
1.
Zeros of quadratic polynomials are the points at which it intersect x axis. Based on this , the answers are
a. -1,3
b, -1,0
c. 2,4
2.
a. $x^2 + 3x -4$
b.$ -x^2 -x +6$
c. $ -x^2 +4x -4$
3.
we can easily do this by find the zeros of the quadratic equation and then matching with the graph
![](https://physicscatalyst.com/article/wp-content/uploads/2019/07/quadratic-graphs-worksheet-9.png)
4.
![](https://physicscatalyst.com/article/wp-content/uploads/2023/02/Quadratic-graphs-worksheet-fig-1.png)
5. For real roots, the graph should intersect the x axis . Here graph (a) and (c) does not intersect the x-axis, so those quadratic polynomials does not have any real roots
Related Articles
find the range of a function
Quadratic Equations