Free Printable M2 Semester 1 Review

1.

What is the correct vertex of the function: f(x) = (x - 3)²- 4

a)

(3, 4)

b)

(-3, -4)

c)

(3, -4)

d)

(-3, -4)

2.

Which of the following graphs has a shift up 2 and right 3?

a)

f(x) = (x + 2)² + 3

b)

f(x) = (x - 2)² + 3

c)

f(x) = (x + 3)² + 2

d)

f(x) = (x - 3)² + 2

3.

a)

A

b)

B

c)

C

d)

D

4.

Which of the graphs is more narrow than f(x) = 3x²?

a)

f(x) = 4x²

b)

f(x) = 1/4x²

c)

f(x) = 2x²

d)

f(x) = -4x²

5.

Which of the statements is INCORRECT about the graph: f(x) = -1/2x² - 3

a)

It opens downward

b)

It has a maximum

c)

It has a y-intercept of (0, -3)

d)

It has an axis of symmetry at x = -3

6.

What is the equation for this graph?

a)

f(x) = (x + 1)² - 1

b)

f(x) = (x - 1)² - 1

c)

f(x) = (x - 1)² + 1

d)

f(x) = -(x - 1)² - 1

7.

What are the x-intercepts of the graph: x² - x - 12?

a)

-6 and 2

b)

2 and -6

c)

-4 and 3

d)

4 and -3

8.

Factor the following: 3x² - x - 4

4 lines

9.

Factor the following: x² - 13x - 30

4 lines

10.

Find of the vertex of the function: x² - 6x + 1

a)

(3, -8)

b)

(-3, 28)

c)

(-3, 10)

d)

(6, 1)

11.

Factor the following: x² - 256

4 lines

12.

What value would you plug in for "a" to solve the quadratic equation using the quadratic formula? f(x) = -2x² - 12 = 3x

a)

-3

b)

3

c)

-2

d)

2

13.

Suppose the discriminant was -12, how many solutions would the equation have?

a)

One real solution

b)

Two real solutions

c)

No real solutions

d)

Prime

14.

What is the discriminant of the quadratic equation: x² - 5x = -3

a)

12

b)

13

c)

37

d)

25

15.

A ball is thrown up into the air. The equation below represents the height of the ball as a function of time. When does the ball hit its max height?

h(t)=−16t²+ 64t+64

Fill in the blank: The ball will hit its max height at ____ seconds.

a)

2

b)

1

c)

0.5

d)

Cannot be determined

16.

Which of the following have an imaginary solution?

a)

$\sqrt{25}$

b)

$\sqrt{-36}$

c)

$\sqrt{11}$

d)

$\sqrt{48}$

17.

$3^x\ =\ \frac{1}{27}$ , find the value of x.

a)

-3

b)

3

c)

1/3

d)

9

18.

$64^{-\frac{1}{2}}$

Evaluate.

a)

8

b)

1/8

c)

-8

d)

-1/8

19.

$Simplify:\ -27^{\frac{2}{3}}$

a)

-9

b)

9

c)

No solution

d)

1/9

20.

$Solve\ for\ x:\ \left(x\ +\ 3\right)^{\frac{3}{2}}=27$

a)

9

b)

6

c)

3

d)

0

M2 Semester 1 Review

Total questions: 20

Worksheet time: 47mins

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