Elective Mathematics

Question 1

1The vertex of y = (x − 3)² + 2 is

Easy

A. (2, 3) B. (−3, 2) C. (3, 2) D. (3, −2)

Question 2

2The parabola y² = 16x has focus

Hard

A. (16, 0) B. (0, 4) C. (4, 0) D. (2, 0)

Question 3

3What is the vertex of the parabola y = (x − 1)² + 3?

Easy

A. (−1, 3) B. (1, −3) C. (1, 3) D. (3, 1)

Question 4

4What is the focus of the parabola y² = 8x?

Medium

A. (2, 0) B. (0, 2) C. (8, 0) D. (4, 0)

Question 5

5The length of the latus rectum of y² = 8x is

Hard

A. 8 B. 4 C. 16 D. 2

Question 6

6What is the directrix of the parabola y² = 8x?

Medium

A. x = −2 B. x = −8 C. x = 2 D. y = −2

Question 7

7The directrix of y² = 12x is

Medium

A. x = 3 B. x = −3 C. y = −3 D. x = −12

Question 8

8The vertex of y = x² − 4x + 1 is

Easy

A. (2, 1) B. (4, 1) C. (−2, 13) D. (2, −3)

Question 9

9The axis of symmetry of y = x² − 6x + 1 is

Easy

A. x = 3 B. x = −3 C. x = 6 D. y = 3

Question 10

10The focus of the parabola y² = 8x is

Medium

A. (8, 0) B. (0, 2) C. (2, 0) D. (4, 0)