# Worksheet: Intercepts and Symmetry of Graphs of Functions

In this worksheet, we will practice interpreting the intercepts of a graph and determining the symmetry of functions.

**Q1: **

In the graph below, find the axis of symmetry.

- AThe -axis
- BThe origin
- CThe -axis

**Q3: **

In the graph below, find the axis of symmetry.

- AThe -axis
- BThe origin
- CThe -axis

**Q4: **

Given that About which point is the function symmetric?

- A
- B
- C
- D

**Q5: **

Find the point of symmetry of the function .

- A
- B
- C
- D

**Q6: **

If the function , determine the point of symmetry of the function .

- A
- B
- C
- D

**Q7: **

What are the -intercepts of the function represented by the given graph?

- A and
- B and
- C and
- D and
- E and

**Q8: **

In the graph shown, find the axis of symmetry.

- A
- B
- C
- D
- E

**Q9: **

What are the -intercepts of the function represented by the given graph?

- A and
- B and
- C and
- D and
- E and

**Q10: **

In the graph shown, find the axis of symmetry.

- A
- B
- C
- D
- E

**Q11: **

Determine the intercepts of the function represented by the given graph.

- A-intercept: , -intercept:
- B-intercept: , -intercept:
- C-intercept: , -intercept:
- D-intercept: , -intercept:
- E-intercept: , -intercept:

**Q12: **

What is the -intercept of the function represented by the given graph?

- A
- B
- C
- D
- E

**Q13: **

What is the -intercept of the function represented by the given graph?

- A
- B
- C
- D
- E

**Q18: **

At which values of does the graph of the equation cross the -axis?

- A and
- B0 and
- C0 and
- D0 and
- E0 and 10

**Q19: **

At which values of does the graph of the equation cross the -axis?

- A4 and 12
- B4 and
- C and
- D2 and
- E and 6

**Q20: **

Factor the equation .

- A
- B
- C
- D
- E

At which values of does the graph of cross the -axis?

- A4.5
- B3 and
- C4.5 and
- D3
- E9 and

**Q21: **

At which values of does the graph of the equation cross the -axis?

- A and 1
- B and 1
- C and
- D2 and
- E and

**Q22: **

Factor fully the equation .

- A
- B
- C
- D
- E

At which values of does the graph of cross the -axis?

- A5 and
- B9 and
- C9 and
- D1 and
- E3 and

**Q23: **

At which values of does the graph of the equation cross the -axis?

- A and 8
- B and
- C and 24
- D3 and
- E5 and