Free Printable ALGEBRA 2 UNIT 4 REVIEW {QUADRATIC FUNCTIONS}

1.

How is the parent function $y=x^2$ transformed for the given quadratic function? (Select all that apply)

a)

Reflected over the x-axis

b)

Translated 4 units up

c)

Translated 7 units left

d)

Vertically stretched by a factor of 3

e)

Translated 3 units right

2.

Which graph below is the quadratic function $y=-2\left(x+3\right)^2+5$ ?

a)

b)

c)

d)

e)

3.

Identify the axis of symmetry , the minimum or maximum, the domain and the range of the parabola for the given function..... $y=-x^2-8x-18$

a)

b)

c)

d)

e)

4.

Find the vertex of the function given..... $y=2x^2+4x-7$

a)

$\left(1,9\right)$

b)

$\left(-1,-9\right)$

c)

$\left(-1,9\right)$

d)

$\left(1,-9\right)$

e)

$\left(9,1\right)$

5.

Write the function in standard form...... $y=2\left(x-4\right)^2-9$

a)

$y=2x^2-4x-9$

b)

$y=2x^2-16x-9$

c)

$y=2x^2-16x+23$

d)

$y=2x^2-8x+16$

e)

$y=2x^2-8x-13$

6.

What are the factors of the expression $6x^2-7x-20$ ?

a)

$\left(2x-5\right)$

b)

$\left(3x+2\right)$

c)

$\left(3x-5\right)$

d)

$\left(3x+4\right)$

e)

$\left(2x-3\right)$

7.

What are the solutions to the quadratic equation $2x^2+3x-5=x^2+4x+15$ ?

a)

$-4$

b)

$4$

c)

$10$

d)

$-2$

e)

$5$

8.

Use the discriminant to determine the number and type of solutions the quadratic equation will have.

$x^2-4x-12=0$

a)

2 real solutions

b)

1 real solution

c)

1 imaginary solution

d)

2 imaginary solution

e)

0 real solutions

9.

Determine which products result in a real number. Select all that apply.

a)

3i\left(2-7i\right)

b)

$4i\left(-4i\right)$

c)

$\left(2+3i\right)\left(4-3i\right)$

d)

$\left(6+5i\right)\left(6-5i\right)$

e)

$\left(-5-2i\right)\left(-5+2i\right)$

10.

A rocket is launched from the top of an 40 foot cliff with an initial velocity of 120 feet per second. The height, h, of the rocket after t seconds is given by the equation $h=-16t^2+120t+40$ . How long after the rocket is launched will it be 30 feet from the ground?
{ROUND YOUR ANSWER TO THE NEAREST TENTH}

a)

6.7

b)

8.9

c)

7.6

d)

8.1

e)

7.9

11.

A rocket is launched from the top of an 40 foot cliff with an initial velocity of 120 feet per second. The height, h, of the rocket after t seconds is given by the equation $h=-16t^2+120t+40$ . How long will it take the rocket to reach the ground?
{ROUND YOUR ANSWER TO THE NEAREST TENTH}

a)

8.2

b)

8.3

c)

7.6

d)

8.0

e)

7.8

12.

A man throws a ball off the top of a building and records the height of the ball at different times, as shown in the table. Find a quadratic function that models the situation.

a)

$y=16t^2-23t+48$

b)

$y=-16t^2+23t+46$

c)

y=-16t^2+33t+46

d)

$y=16t^2+33t-48$

e)

$y=-16t^2-33t-46$

ALGEBRA 2 UNIT 4 REVIEW {QUADRATIC FUNCTIONS}

Total questions: 12

Worksheet time: 21mins

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