Free Printable A2 Unit 4 Review 1

1.

Which of the following equations shows the standard form of a quadratic function?

a)

ax + by = c

b)

f(x) = a(x - h)² + k

c)

f(x) = ax² + bx + c

d)

f(x) = mx + b

2.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

3.

The parabola y = x² - 2x + 4 will have a vertex of

a)

(-1, 2)

b)

(1, 2)

c)

(-1, 3)

d)

(1, 3)

4.

The parabola y = x² - 2x + 4

a)

will have a minimum vertex.

b)

will have a maximum vertex.

5.

The parabola y = -2x² - 4x + 1 will open

a)

up

b)

down

6.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t² + 64t + 80.
What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

7.

A ball is thrown into the air with an upward velocity of 40ft/s. Its height h in feet after t seconds is given by the function :

h(t) = -16t² + 40t + 10

How many seconds does it take the ball to reach its maximum height?

a)

1.25 seconds

b)

1.4 seconds

c)

2.5 seconds

d)

2 seconds

8.

Find the coordinates of the vertex of:

$y\ =\ x^2-2x-5$

(a)

9.

Find the coordinates of the vertex of:

$y=-x^2-14x-59$

(a)

10.

Find the coordinates of the vertex of:

$y=2x^2+36x+170$

(a)

11.

What is the vertex for
f(x)=4(x-2)² + 3

a)

(-2, 3)

b)

(2,-3)

c)

(4,3)

d)

(2,3)

12.

Does the parabola
f(x)=4(x-2)² + 3
open up or down?

a)

up

b)

down

13.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

14.

Which equation is graphed above?

a)

$y=-\left(x-1\right)^2+4$

b)

$y=\left(x-1\right)^2+4$

c)

$y=-\left(x-4\right)^2+1$

d)

$y=\left(x-4\right)^2+1$

15.

Which equations matches the graph above?

a)

$h\left(x\right)=\ \left(x+1\right)^2-4$

b)

$h\left(x\right)=-\left(x+1\right)^2-4$

c)

$h\left(x\right)=\left(x+4\right)^2-1$

d)

$h\left(x\right)=-\left(x+4\right)^2+1$

16.

$f\left(x\right)=-\left(x-4\right)^2+1$

Choose the correct graph of the equation.

a)

b)

c)

d)

17.

Explain the translation:

y = x² - 7

a)

translated left 7

b)

translated right 7

c)

translated up 7

d)

translated down 7

18.

Explain the translation:

y = (x + 14)²

a)

translated up 14

b)

translated down 14

c)

translated right 14

d)

translated left 14

19.

Explain the translation:

y = (x - 5)² - 1

a)

translated right 5, up 1

b)

translated left 5, down 1

c)

translated right 5, down 1

d)

translated left 5, up 1

20.

Explain the translation:

y = (x + 9)² + 5

a)

translated left 9, up 5

b)

translated left 9, down 5

c)

translated right 9, up 5

d)

translated right 9, down 5

21.

If the blue graph is
f(x) = x²
then the red must be...

a)

g(x) = x²- 5

b)

g(x) = x²+ 5

c)

g(x) = (x - 5)²

d)

g(x) = (x + 5)²

22.

$y=-3(x+5)^2-4$
Convert the equation from vertex form to standard form.

a)

y = 9x²- 15x + 21

b)

y = -3x²- 75x - 4

c)

y = 9x²+ 90x + 221

d)

y = -3x²- 30x - 79

23.

$y=-5(x+2)^2-10$
Convert the equation from vertex form to standard form.

a)

y = -5x²- 20x - 30

b)

y = -5x²- 4x - 10

c)

y = 25x² + 100x + 90

d)

y = 25x² - 10x - 30

24.

$y=4(x+2)^2-8$

Convert the equation from vertex form to standard form.

a)

$y=4x^2+16x+8$

b)

$y=4x^2+16x+16$

c)

$y=16x^2+64x-8$

d)

$y=16x^2+256x+8$

25.

$y=-\frac{2}{3}(x-9)^2-2$
Convert the equation from vertex form to standard form

a)

$y=-\frac{2}{3}x^2-12x-52$

b)

$y=-\frac{2}{3}x^2+12x-56$

c)

$y=-\frac{2}{3}x^2+18x-56$

d)

$y=-\frac{2}{3}x^2-18x+52$

26.

a)

A

b)

B

c)

C

d)

D

27.

a)

A

b)

B

c)

C

d)

D

28.

Find the solution to the quadratic equation:

x^2+6x+5=0

a)

x = {6, 5}

b)

x = {-6, -5}

c)

x = {-5, -1}

d)

x = {1, 5}

29.

Find the solution to the quadratic equation:

x^2-10x-24=0

a)

x = {-24, -10}

b)

x = {10, 24}

c)

x = {-12, 2}

d)

x = {-2, 12}

30.

Find the solution(s) to the quadratic equation:

x^2-81=0

a)

x = {9}

b)

x = {-9}

c)

x = {-9, 9}

d)

No solution

31.

Find the solution(s) to the quadratic equation:

x^2-14x+49=0

a)

x = {7}

b)

x = {-7}

c)

x = {-7, 7}

d)

x = {0}

32.

Find the solution(s) to the quadratic equation:

x^2+5x-14

a)

x = {-5, 14}

b)

x = {-14, 5}

c)

x = {-2, 7}

d)

x = {-7, 2}

33.

Find the solution(s) to the quadratic equation:

x^2+6x+9=0

a)

x = {6}

b)

x = {-9}

c)

x = {3}

d)

x = {-3}

34.

What is the domain of the graph?

a)

$\left(-\infty,\infty\right)$

b)

$\left[0,\infty\right)$

c)

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

d)

$\left(-\infty,0\right]$

35.

What is the range of this function?

a)

$\left[-4,5\right]$

b)

$\left(-1,3\right)$

c)

$\left(-\infty,\infty\right)$

d)

$\left[-4,\infty\right)$

36.

Which quadratic functions have two solutions? Select all that apply.

a)

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

b)

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

c)

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

d)

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

e)

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

37.

Find the range

a)

$\left(-\infty,\infty\right)$

b)

$\left[-2,\infty\right)$

c)

$\left(-\infty,-2\right]$

38.

Calculate the zeros of the quadratic.

a)

x = 2 and -3

b)

x = 0 and 9/4

c)

x = 0 and 4/9

d)

x = 1/2 and 1/3

39.

Calculate the zeros of the quadratic.

a)

x = 6 and 3

b)

x = 1 and 0

c)

x = 0 and 3

d)

x = 3 and 1

40.

What are the zeros of the function
f(x)= -4(x - 3)(x+5)?
*Hint: Type the function into y=

a)

-12 and 20

b)

-5 and 3

c)

-4 and -5

d)

-3 and 5

41.

What are the zeros of the quadratic function?
y = x² - 2x - 15

a)

x = -2
x = -15

b)

x = -3
x = 5

c)

x = 3
x = -5

d)

x = 1
x = -16

42.

Which graph has the x intercepts of -2 and 1?

a)

y = 2x -1

b)

y = x²-2x +1

c)

y = x²+x-2

d)

y=x²-x-2

43.

Find the solution to the quadratic equation:

x^2-10x-24=0

a)

x = {-24, -10}

b)

x = {10, 24}

c)

x = {-12, 2}

d)

x = {-2, 12}

44.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

45.

Solve by factoring:3x² + 5x + 2 = 0

a)

x = -2/3 and x = -1

b)

x = -3/2 and x = -1

c)

x = 2/3 and x = 1

d)

x = 2/3 and x = -1

46.

3. Solve the equation
4x²- 25 = 0

a)

5/2, -5/2

b)

5/2, 5/2

c)

-5/2, -5/2

d)

-25/4, 25/4

47.

Solve

2x² + 17x + 21 = 0

a)

x= ^-21/₂, -17

b)

x= ²/₃, 16

c)

x= -7, ^-3/₂

d)

x= 15, -³/₇

48.

Solve: $3x^2+7x-6=0$

a)

$x\ =\ 3$ and $x=-\frac{2}{3}$

b)

$x=-3$ and $x=\frac{2}{3}$

c)

$x=-3$ and $x=-\frac{2}{3}$

d)

$x=3$ and $x=\frac{2}{3}$

49.

Given the zeros below, what are the factors?

a)

(3x - 2) (4x - 1)

b)

(2x - 3) (x - 4)

c)

(3x - 2) (x - 4)

d)

(2x - 3) (4x - 1)

50.

Use the zero product property to solve the equation $5x^2+2x-3=0$

a)

x = -1 or x = 0.6

b)

x = 2 or x = -3

c)

x = -1 or x = 3

d)

x = 4 or x = -5

51.

What are the roots of the equation $6x^2-13x+6=0$ when applying the zero product property?

a)

x = 2/3, x = 3/2

b)

x = 1/4, x = 3/2

c)

x = 4/5, x = 2/3

d)

x = 3/2, x = 1/3

A2 Unit 4 Review 1

Total questions: 51

Worksheet time: 3hrs 9mins

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