In this worksheet, we will practice finding the roots of a quadratic from its graph and by factoring.
Q4:
Find the set of zeros of the function .
- A
- B
- C
- D
- E
Q5:
Which of the following is a solution for given the set of zeros of the function is empty?
- A
- B
- C0
- D44
Q6:
If a parabola intersects the -axis at two points, find the number of roots for the equation in .
- A zero
- B one
- C four
- Dtwo
- E three
Q7:
If a parabola touches the -axis at a single point, determine the number of roots in .
- A zero
- B two
- C three
- D one
- E four
Q8:
If a parabola does not intersect the -axis, determine the number of roots in .
- Aone
- Bthree
- Ctwo
- Dzero
- Efour
Q9:
Given the curve of the quadratic function does not intersect the -axis, determine . Recall that is the set of zeros of the function .
- A
- B
- C
- D
- E
Q10:
The following expressions are equivalent ways of writing the function .
Use expression 1 to find the value of when .
Identify the minimum value of using expression 2.
Identify the zeros of using expression 3.
- A8, 15
- B5, 3
- C
- D
- E
Q11:
Find the values of and given the set contains the zeros of the function .
- A ,
- B ,
- C ,
- D ,
Q12:
Find the value of , given the set contains the zero of the function .
Q13:
Given that and , find the other root of .
- A
- B
- C
- D
- E
Q14:
Determine the points at which the graph of the function intersects the -axis.
- A ,
- B ,
- C ,
- D ,
Q15:
Find the set of zeros of the function .
- A
- B
- C
- D
- E
Q16:
If the graph of the quadratic function, , does not intersect the -axis, how many solutions are there to the equation ?
- A two
- B one
- C an infinite number
- D zero