Plotting Graph of Quadratic Equation

Q.

How do you know if a parabola opens up or down $?$

Q. The graph of $y=-x^2$ is the mirror image of along the $x-$ axis.

1. $y=x^2$
2. $y=2x^2$
3. $y=-2x^2$

Q. The number of integral values of $x$ for which $f\left(x\right)=2x^2-20x+42$ is negative is

Q. Consider the quadratic equation $y=a{x}^2+bx+c$. The possible graph for the equation if $a>0$ and $D=0$ is/are ?

1. 
2. 
3. 
4. 

Q. The graph of $y=x^2$ is symmetric about the $x-$ axis.

1. False
2. True

Q. If the graph of the quadratic polynomial $f\left(x\right)=a{x}^2+bx+c$ is


Then, the possible value(s) of $a$ can be

1. $3$
2. $-5$
3. $0$
4. $-2$

Q. The graph of $f\left(x\right)=2x^2-3x+2$ is

1. 
   
2. 
   
3. 
   
4. 
   

Q. For the given graphs of quadratic equations $p,q,r,s$, select the quadratic equations for which the coefficient of leading term is negative.

1. $q$
2. $s$
3. $r$
4. $p$

Q. The graph of $f\left(x\right)=-x^2+x-2$ is

1. 
2. 
3. 
4. 

Q. Consider the quadratic polynomial $y=a{x}^2+bx+c$. Select the possible graphs for which $a<0\&D=0.$

1. 
2. 
3. 
4. 

Q. The graphs of $y=x^2\&y=-x^2$ will intersect each other at $x=$

1. 0

Q. Given the graph of $y=a{x}^2+bx+c$ as shown,
the leading coefficient , and discriminant

1. $D>0$
2. $D<0$
3. $a<0$
4. $a<0$

Q. The graph of $f\left(x\right)=-x^2+x-2$ is

1. 
2. 
3. 
4. 

Q. For any quadratic equation $y=a{x}^2+bx+c,$ with roots as $\alpha ,\beta$ such that $\alpha <\beta$ if $a<0\&D>0,$ then select the correct statements.

1. $y>0\forall x\in (\alpha ,\beta )$
2. $y<0\forall x\in (-\infty ,\alpha )$
3. $y<0\forall x\in (\beta ,\infty )$
4. $y=0\forall x\in \{\alpha ,\beta \}$

Q. Select the possible graph(s) of the quadratic equation $y=a{x}^2+bx+c$ where $a<0,D>0.$

1. 
2. 
3. 
4. 

Q. Select the correct graph of the quadratic polynomial $y=-x^2-x+2.$

1. 
2. 
3. 
4. 

Q. The graph of a quadratic polynomial $f\left(x\right)=a{x}^2+bx+c$ is shown below. Then which of the following option(s) is/are correct ?

1. $a+b-c>0$
2. $b>0$
3. $c<0$
4. $abc<0$

Q. For the given graph of $y=a{x}^2+bx+c$ as shown, select the correct statements.

1. $D>0$
2. $y<0\forall x\in (\alpha ,\beta )$
3. $y>0\forall x\in (-\infty ,\alpha )\cup (\beta ,\infty )$
4. $a>0$

Q. For any quadratic equation $y=a{x}^2+bx+c.$ Select the possible graphs for which $a>0.$

1. 
2. 
3. 
4. 

Q. Consider the quadratic polynomial $y=a{x}^2+bx+c$. Select the possible graphs for which $a<0\&D=0.$

1. 
2. 
3. 
4. 

Q. Select the correct graph of the quadratic polynomial $y=-x^2-x+2.$

1. 
2. 
3. 
4. 

Q. Which among the following is the correct graphical representation of $y=x^2-3x-4$?

1. 
2. 
3. 
4. 

Q. For the given graph of $y=a{x}^2+bx+c$ as shown, select the correct statements.

1. $y<0\forall x\in (\alpha ,\beta )$
2. $y>0\forall x\in (-\infty ,\alpha )\cup (\beta ,\infty )$
3. $D>0$
4. $a>0$

Q. Which among the following is the correct graphical representation of $y=x^2+2x-3?$

1. 
2. 
3. 
4. 

Q. Observe the graph of $y=a{x}^2+bx+c$ and mark the correct statement(s)

1. $D=0$
2. Roots are equal
3. $D>0$
4. $a>0$

Q. The graph of $y=2x^2$ will be more steep as compared to the graph of $y=x^2$

1. True
2. False

Q. Which of the following represents the graph of $f\left(x\right)=a{x}^2+bx+c$ where $a<b<0<c$ ?

1. 
2. 
3. 
4. 

Q.
For the given graph of $y=a{x}^2+bx+c$ as shown above, $y=$

1. $x^2+x-2$
2. $2x^2+4x-2$
3. $x^2+x-2$

Q. Which among the following is the correct graphical representation of the quadratic polynomial $y=-2x^2+2x-0.5?$

Q. Select the possible graph(s) of the quadratic equation $y=a{x}^2+bx+c,$ where $a>0\&D=0.$

1. 
2. 
3. 
4.