# Worksheet: Solving Quadratic Equations Graphically

In this worksheet, we will practice solving quadratic equations using function graphs.

**Q2: **

The diagram shows the graph of . What is the solution set of the equation ?

- A
- B
- C
- D
- E

**Q5: **

The graph shows the curve with equation . What is the solution set of the equation ?

- A
- B
- C
- D

**Q6: **

If the point is the vertex of the graph of the quadratic function , what is the solution set of the equation ?

- A
- B
- C
- D

**Q8: **

Consider the equation . In the following, find a solution by filling the blank space.

.

- A
- B
- C
- D
- E

.

- A
- B
- C
- D
- E

.

- A
- B
- C
- D
- E

.

- A
- B
- C
- D
- E

These solutions can be plotted as seen in the figure. What will be true of any other solution plotted in the plane?

- AThey will not lie on the curve.
- BThey will not lie in the same quadrant.
- CThey will lie on the curve.
- DThey will lie on the -axis.
- EThey will lie in the same quadrant.

**Q9: **

Solve by factoring, and hence determine which of the following figures would be a sketch of .

- A
- B
- C
- D
- E

**Q10: **

Consider the function .

Find the solutions when in the form of .

- A ,
- B ,
- C ,
- D ,
- E ,

Find the solutions when in the form of .

- A ,
- B ,
- C ,
- D ,
- E ,

Find the solutions when in the form of .

- A ,
- B ,
- C ,
- D ,
- E ,

The solutions found can be plotted in plane as seen in the given figure. What will be true of the plot of any other solution?

- AThey will lie on the -axis.
- BThey will lie in the same quadrant.
- CThey will not lie on the curve.
- DThey will not lie in the same quadrant.
- EThey will lie on the curve.

**Q11: **

Work out the coordinates that satisfy the equation for the given values of .

.

- A ,
- B ,
- C ,
- D ,
- E ,

.

- A ,
- B ,
- C ,
- D ,
- E ,

.

- A ,
- B ,
- C ,
- D ,
- E ,

.

- A
- B
- C
- D
- E

The solutions found can be plotted in plane as seen in the given figure. What will be true of the plot of any other solution?

- AThey will not lie on the curve.
- BThey will not lie in the same quadrant.
- CThey will lie on the -axis.
- DThey will lie on the curve.
- EThey will lie in the same quadrant.

**Q12: **

Solve by factoring, and hence determine which of the following figures would be a sketch of .

- A
- B
- C
- D
- E

**Q14: **

The graph shows the function .

What is the solution set of ?

- A
- B
- C
- D
- E

What is the solution set of ?

- A
- B
- C
- D
- E

**Q15: **

The graph shows the function . What is the solution set of ?

- A
- B
- C
- D
- E

**Q16: **

By drawing a graph of the function , find the solution set of .

- A
- B
- C
- D
- E