Quiz about Quiz # 5 - Math-9

Question 1

Which function has the slimmest opening when graphed in the cartesian coordinate plane?

Accepted Answer

$$f\left(x\right)=-12x^2$$

Answer

$$f\left(x\right)=3x^2$$

Answer

$$f\left(x\right)=5x^2$$

Answer

$$f\left(x\right)=-9x^2$$

Question 2

What is the direction of the opening of the graph of the quadratic function $$f\left(x\right)=-x^2+5$$ ?

Accepted Answer

downward

Answer

left

Answer

right

Answer

upward

Question 3

What is the range of the quadratic function $$f\left(x\right)=-\left(x+3\right)^2+5$$ ?

Accepted Answer

$$\left[5,-\infty\right]$$

Answer

$$\left[1,\ 2\right]$$

Answer

$$\left[-3,\ 5\right]$$

Answer

$$\left[5,\infty\right]$$

Question 4

At what point will the graph of the quadratic function $$f\left(x\right)=x^2+4x-3$$ crosses the y-axis?

Accepted Answer

(0, -3)

Answer

(0, 3)

Answer

(3, 0)

Answer

(-3, 0)

Question 5

At what point will the graph of the quadratic function $$f\left(x\right)=2\left(x-1\right)^2+7$$ pass the y-axis?

Accepted Answer

(0, 7)

Answer

(0, -7)

Answer

(7, 0)

Answer

(-7, 0)

Question 6

Which of the following hast the widest opening of the graph?

Accepted Answer

$$f\left(x\right)=2x^2$$

Answer

$$f\left(x\right)=-6x^2$$

Answer

$$f\left(x\right)=-5x^2$$

Answer

$$f\left(x\right)=3x^2$$

Question 7

What is the maximum point of the quadratic function $$f\left(x\right)=-\left(x+3\right)^2-5$$ ?

Accepted Answer

(-3, -5)

Answer

(-3, 5)

Answer

(3, 5)

Answer

(3, -5)

Question 8

What is the maximum point of the quadratic function $$f\left(x\right)=-2x^2+12x-23$$ ?

Accepted Answer

(3, -5)

Answer

(-2, 5)

Answer

(-3, 5)

Answer

(-3, -5)

Question 9

What is the axis of symmetry of the quadratic function $$f\left(x\right)=2\left(x+3\right)^2-7$$ ?

Accepted Answer

$$x=-3$$

Answer

$$x=2$$

Answer

$$x=3$$

Answer

$$x=-2$$

Question 10

Which of the following is the axis of symmetry of the quadratic function $$f\left(x\right)=3x^2+30x+74$$ ?

Accepted Answer

$$x=-5$$

Answer

$$x=5$$

Answer

$$x=-4$$

Answer

$$x=4$$

Question 11

How is the graph of $$y=x^2-3$$ obtained by sliding the graph of $$y=x^2$$ ?

Accepted Answer

the graph is moved 3 units downward

Answer

the graph is moved 3 units to the left

Answer

the graph is moved 3 units to the right

Answer

the graph is moved 3 units upward

Question 12

Which of the following describes the movement of the graph of $$f\left(x\right)=\left(x+3\right)^2-4$$ obtained by sliding the graph of $$f\left(x\right)=x^2$$ ?

Accepted Answer

3 units to the left and 4 units downward

Answer

3 units to the left and 4 units upward

Answer

3 units to the right and 4 units upward

Answer

3 units to the right and 4 units downward

Question 13

What equation can be obtained when the graph of $$f\left(x\right)=-3x^2$$ is translated 4 units to the left?

Accepted Answer

$$f\left(x\right)=-3\left(x+4\right)^2$$

Answer

$$f\left(x\right)=-3x^2-4$$

Answer

$$f\left(x\right)=-3x^2+4$$

Answer

$$f\left(x\right)=-3\left(x-4\right)^2$$

Question 14

What equation can be obtained when the graph of the quadratic function $$f\left(x\right)=2x^2$$ is moved 3 units to the right and 1 unit downward?

Accepted Answer

$$f\left(x\right)=2\left(x-3\right)^2-1$$

Answer

$$f\left(x\right)=2\left(x+3\right)^2+1$$

Answer

$$f\left(x\right)=2\left(x-3\right)^2+1$$

Answer

$$f\left(x\right)=2\left(x+3\right)^2-1$$

Question 15

What are the zeros of the quadratic function $$f\left(x\right)=x^2-5x+6$$ ?

Accepted Answer

2 and 3

Answer

-2 and -3

Answer

-6 and -1

Answer

6 and 1

Question 16

What quadratic function has -9 and 1 as its zeros?

Accepted Answer

$$f\left(x\right)=x^2+8x-9$$

Answer

$$f\left(x\right)=x^2+8x+9$$

Answer

$$f\left(x\right)=x^2-8x-9$$

Answer

$$f\left(x\right)=-x^2+8x-9$$

Question 17

If the zeros of a quadratic function are $$\sqrt[]{3\ }\ and\ -\sqrt[]{3}$$ then what is the quadratic function?

Accepted Answer

$$f\left(x\right)=x^2-3$$

Answer

$$f\left(x\right)=x^2+3$$

Answer

$$f\left(x\right)=2x^2+3$$

Answer

$$f\left(x\right)=2x^2-3$$

Question 18

A ball is thrown into the air and falls to the ground. The height f(x) of the ball in meters t seconds after being thrown is given by f(x) = -2t² + 8t. What is the maximum height reached by the ball?

Accepted Answer

8m

Answer

2m

Answer

4m

Answer

6m

Question 19

Which of the following quadratic functions represents the given table of values?

Accepted Answer

$$f\left(x\right)=x^2+2$$

Answer

$$f\left(x\right)=x^2-2$$

Answer

$$f\left(x\right)=2x^2-2$$

Answer

$$f\left(x\right)=2x^2+2$$

Question 20

What is the value of a in the given function $$f\left(x\right)=ax^2+bx+c$$ when its graph opens upward?

Accepted Answer

greater than zero

Answer

any real number

Answer

less than zero

Answer

zero

Quiz # 5 - Math-9

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