Question 1

Which of the following is y proportional to the square of $x$?

Accepted Answer

The area of a circle with radius $x$ cm is $y cm^2$

Answer

All of the above

Answer

It takes y seconds to run 400 m at the speed of $x$ m/s

Answer

The total length of all sides in a cube of side x cm is y cm

Question 2

$y$ is proportional to the square of $x$ and$ y$ = 27 when $x$ = -3. Express $y$ in terms of $x$.

Accepted Answer

$y = 3x^2$

Answer

$y = -9x^2$

Answer

$y = -3x^2$

Answer

$y = 9x^2$

Question 3

$y$ is proportional to the square of $x$ and $y = 24$ when $x = 6$. Find the value for $y$ when $x = -9$.

Accepted Answer

54

Answer

52

Answer

53

Answer

51

Question 4

Which of the following is true for $y = -0.5x^2$ and $y = -2x^2$ ?

Accepted Answer

Graph of $y = -0.5x^2$ is wider than $y = -2x^2$

Answer

Graph of $y = -0.5x^2$ is the same wideness as $y = -2x^2$

Answer

None of the answer

Answer

Graph of $y = -0.5x^2$ is narrower than $y = -2x^2$

Question 5

Which of the following is the expression for the graph?

Accepted Answer

$y = 3x^2$

Answer

$y = 4x^2$

Answer

$y = 2x^2$

Answer

$y = x^2$

Question 6

What is the expression of the graph?

Accepted Answer

$y = -4x^2$

Answer

$y = -2x^2$

Answer

$y = -3x^2$

Answer

$y = -x^2$

Question 7

Which of the following is correct for $y = ax^2$ ?

Accepted Answer

a > 0, the graph lies above the x-axis and opens upward

Answer

a < 0, the graph lies above the x-axis and opens downward

Answer

a < 0, the graph lies above the x-axis and opens upward

Answer

a > 0, the graph lies below the x-axis and opens downward

Question 8

Which is true for a parabola?

Accepted Answer

An infinite curve with line of symmetry

Answer

A finite line with a line of symmetry

Answer

A finite curve with line of symmetry

Answer

An infinite line with a line of symmetry

Question 9

What is the point marked X called?

Accepted Answer

vertex of the parabola

Answer

axis of the parabola

Answer

infinite curve

Answer

line of symmetry

Question 10

Which of the following is false about $y = ax^2$ where a > 0?

Accepted Answer

The value of y is at its highest when x = 0

Answer

Within x ≦ 0, value of y decreases as value of x increases

Answer

y ≧ 0 for all values of x

Answer

The value of y is at its lowest when x = 0

Question 11

Which of the following is true of $y = ax^2$ when a < 0 ?

Accepted Answer

Within the range x ≧ 0, y decreases as x increases

Answer

The lowest value of y is at its lowest when x = 0

Answer

Within the range x ≦ 0, y increases as x decreases

Answer

No matter what the value of x, y ≧ 0

Question 12

Find the domain of y for the function $y = -4x^2$ from $-4 ≦ x ≦- 1$.

Accepted Answer

-64 ≦ y ≦ -4

Answer

-64 ≦ y ≦ 0

Answer

-64 ≦ y ≦ 4

Answer

64 ≦ y ≦ 4

Question 13

Find the domain of y for the function $y = 0.8x^2$ from -2 ≦ x ≦ 5.

Accepted Answer

0 ≦ y ≦ 20

Answer

-2 ≦ y ≦ 10

Answer

-2 ≦ y ≦ 5

Answer

3.2 ≦ y ≦ 20

Question 14

Given that b ≦ y ≦ 18 when -1 ≦ x ≦ 3 for the function $y = ax^2$. Find a and b.

Accepted Answer

a = 2, b = 0

Answer

a = 1, b = 3

Answer

a = 0, b = 3

Answer

a = 2, b = 2

Question 15

Given that b ≦ y ≦ 2 when 0 ≦ x ≦ a for the function $y=2x^2$ . Find a and b.

Accepted Answer

a=1, b=0

Answer

a=0, b=1

Answer

a=3, b=-3

Answer

a=1, b=1

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