The functiony= -16t²+ 486 models the height y in feet of a stonetseconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second.

Question 1 options:

7.79 seconds

5.51 seconds

11.02 seconds

0.25 seconds

Simplify the expression.

(3 +i) - (2 - 2i)

Question 2 options:

1 + 3i

4i

5 - i

-1 - 3i

Jamie kicked a soccer ball that traveled along a path described by the parabola y = -x²+8x, where y equals the height of the soccer ball in feet, and x = the horizontal distance in feet that the ball has traveled from Jamie.How many feet from Jamie does the soccer ball hit the ground?

Question 3 options:

4 feet

8 feet

16 feet

0 feet

The functionh= -t²+ 95 models the path of a ball thrown by a boy wherehrepresents height, in feet, andtrepresents the time, in seconds, that the ball is in the air. Assuming the boy lives at sea level whereh= 0 ft, which is a likely place the boy could have been standing when he threw this ball?

Question 4 options:

a bridge

a ladder

an underground cave

his backyard

What is the expression in factored form?

9x²- 12x + 4

Question 5 options:

(-3x + 2)(3x - 2)

(-3x - 2)²

(3x - 2)²

(3x + 2)²

Which of the equations is graphed below?

Question 6 options:

y = x²- 6x + 10

y = x²+ 6x + 10

y = -x²+ 6x - 10

y = x²+ 3x + 2

Identify the vertex and the axis of symmetry of the graph of the function y = 2(x+2)²- 4

Question 7 options:

vertex: (-2, 4);

axis of symmetry: x = -2

vertex: (2, -4);

axis of symmetry: x = 2

vertex: (-2, -4);

axis of symmetry: x = -2

vertex: (2, 4);

axis of symmetry: x = 2

What is the expression in factored form?

16x²- 25

Question 8 options:

(4x - 5)²

(-4x + 5)(4x - 5)

(4x + 5)(4x - 5)

(4x + 5)(-4x - 5)

Find the solutions of the equation.

x²- 4x- 5 = 0

Question 9 options:

x = 5 and x = 1

x = -5 and x = 1

x = -5 and x = -1

x = 5 and x = -1

What is the graph of the function?

f(x)=1

3

x

2

f

(

x

)

=

1

3

x

2

Question 10 options:What is the graph of the function?

f(x)=1

3

x

2

f

x

1

3

x

2

Question 10 options:

The axis of symmetry of the graph of y = -(x+4)²-6 is

Question 11 options:

x = -4

x = -6

x = 4

x = 6

Identify the maximum or minimum value and the domain and range of the graph of the function

y= 2(x+ 2)²- 3

Question 12 options:

maximum value: -3

domain: all real numbers3

range: all real numbers

minimum value: 3

domain: all real numbers 3

range: all real numbers

minimum value: -3

domain: all real numbers

range: all real numbers-3

maximum value: 3

domain: all real numbers

range: all real numbers3

Solve the equation.

x²+ 18x + 81 = 25

Question 13 options:

14, 4

14, -14

-4, -14

-4, 4

What is the graph of the function?

f(x) = 2x²

Question 14 options:

Which graph is a translation off(x) =x², according the rule:

y=x²- 5

Question 15 options:

f(x) translated to the down 5 unit(s)

f(x) translated to the right 5 unit(s)

f(x) translated to the left 5 unit(s)

f(x) translated to the up 5 unit(s)

What is the vertex of the graph of

y = 1/3 (x-9)²+ 5

Question 16 options:

(-9,5)

(3,3)

(9,5)

(3,5)

Simplify the number using the imaginary unit i.

144

-

144

Question 17 options:

144i

12i

-12

12

Which of the following shows the equation y = x²+ 8x + 14 in vertex form?

Question 18 options:

y = (x+4)²-28

y = (x-8)²+ 14

y = (x+4)²-2

y = (x+8)²+ 14

Use the vertex form to write the equation of the parabola.

Question 19 options:

y = 3(x+2)²-2

y = 3(x+2)²+ 2

y = 3(x-2)²+ 2

y = 3(x-2)²-2

Consider the parent graph f(x) =x².

Then, g(x) is a translation according the rule:

y= (x+ 3)²+ 4.

Find the graph g(x).

Question 20 options:

f(x) translated down 4 unit(s) and translated to the left 3 unit(s)

f(x) translated up 4 unit(s) and translated to the left 3 unit(s)

f(x) translated down 4 unit(s) and translated to the right 3 unit(s)

f(x) translated down 4 unit(s) and translated to the right 3 unit(s)