Virtual Quiz Bee (Elimination Round)

What must be added to

 $x^2\ +\ 6x$  to make it a perfect square trinomial?

• 3

• 6

• 9

• 12

What is the product of the roots in the equation

 $3x^2\ +\ 18x\ =\ 24$  ?

• 8

• 6

• -6

• -8

What is the value of

 $h$  in the function  $y\ =\ x^2\ +\ 14x\ +\ 51$ ?

• 7

• 14

• -7

• -14

What is the range of the quadratic function $y\ =\ \left(x-8\right)^2\ +\ 7$ ? 

•  $\left\{y∣y≥7\right\}$  

•  $\left\{y∣y\le7\right\}$  

•  $\left\{y∣y≥-8\right\}$  

•  $\left\{y∣y\le-8\right\}$  

What is the vertical shift of the quadratic function $y\ =\ -\left(x-3\right)^2\ -\ 5$ ? 

• 3 units upward

• 3 units downward

• 5 units upward

• 5 units downward

What is the equation of the quadratic function whose zeros are -5 and 3?

•  $f\left(x\right)=x^2-2x-15$  

•  $f\left(x\right)=x^2-2x+15$  

•  $f\left(x\right)=x^2+2x-15$  

•  $f\left(x\right)=x^2+2x+15$  

What is the nature of the roots of $5x^2-3x-2=0$ ? 

• The roots are real and equal.

• The roots are rational but not equal.
  

• The roots are irrational and not equal.

• The roots are not real.
  

The sum of two numbers is 12 and the difference of their squares is 48. What are the two numbers?

• 5 and 7

• 4 and 8

• 3 and 9

• 2 and 10

What is the equivalent equation of  $\frac{3}{k}-1\ =\ \frac{4}{k+1}$  when transformed to a quadratic equation?

•  $k^2-4k+3=0$  

•  $k^2+3k+2=0$  

•  $k^2+3k-4=0$  

•  $k^2+2k-3=0$  

The path of an object when it is thrown can be modeled by $S\left(t\right)=-16t^2+8t+4\$ where  $S$ in feet is the height of the object in  $t$ seconds after it is released. What is the maximum height  reached by the object?

• 3 feet

• 4 feet

• 5 feet

• 6 feet