Animal Crossing Escape Room

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Question 1/4

Solve by Factoringx2 - 5x + 6 = 0

x = 2, 3

x = -2, 3

x = 2, - 3

Question 2/4

Solve by completing the squarex2 + 6x + 5 = 0

x = 1, 5

x = -1, -5

no solution

Question 3/4

Solve using quadratic formula2x2 - 4x - 6 = 0

no solution

x = 1, - 3

x = -1, 3

Question 4/4

A ball is thrown upward with an initial velocity of 20 meters per second from a height of 5 meters. The height (h) of the ball at any time (t) seconds can be modeled by the equation:h(t) = -5t2 + 20t + 5How long until the ball hits the ground?

4.24 seconds

0.24 seconds

3.73 seconds

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Question 1/4

8 meters x 10 meters

6 meters x 8 meters

2 meters x 4 meters

The area of a rectangular garden is 48 square meters. The length of the garden is 2 meters more than its width. Find the dimensions of the garden.

Question 2/4

A

B

C

A creeper created the following graph to show the relationship between the temperature of the air (x), in degree Celsius and the number of sea turtles (y) in the water. What does the y-intercept represent? A. There were 16 sea turtles in the water at 2.5o CB. There were 0 sea turtles in the water at 0o CC. There were 10 sea turtles in the water at 0o C

Question 3/4

Write f(x) = x2 - 8x + 12 in vertex form

(x - 8)2 + 12 = 0

(x - 4)2 - 4 = 0

(x + 4)2 + 12 = 0

Question 4/4

Solve for x. Round to the nearest tenth.7 = 4x2 + 10x

no solution

x = -3.1, 0.6

x = 3.1, -0.6

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Question 1/4

Steve wants to hang a picture on his wall. The picture and frame have an area of 27 feet. The painting is 4 feet wide by 3 feet long. Write a quadratic equation that can be used to determine the thickness of the frame, x.

x2 + 7x - 15 = 0

12x2 - 27 = 0

4x2 + 14x - 15 = 0

Question 2/4

For f(x) = x2 and g(x) = (x - 7)2, in which direction and by how many units should f(x) be shifted to obtain g(x)?

Right 7 units

Left 7 units

Down 7 units

Question 3/4

What is the vertex from the table?

(0, 0)

(2, 4)

(4, 0)

Question 4/4

What is the vertex of f(x) = -2x2 + 5?

(0, 5)

(5, -2)

(-2, 5)

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Question 1/4

The table represents a quadratic function. What is the equation of the function?

f(x) = -x2 + 6

f(x) = x2 + 5x + 6

f(x) = -x2 + 4x + 6

Question 2/4

Which function is most likley increasing exponentially?

x

f(x)

g(x)

Question 3/4

What is the standard form of the equation of a quadratic function with roots 2 and -5 that passes through (1, -3)?

y = x2 -3x - 15

y = 2x2 + 6x - 20

y = 1/2x2 + 3/2x - 5

Question 4/4

For the graph, what is a reasonable constraint for domain so that the value of the function is at least 600?

600 < x < 787.5

0 < x < 20

-10 < x < 30

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Question 1/4

Find the error (factoring):-5x2 + 20x - 15 = 0-5(x2 - 4x + 3) = 0 Line 1-5(x + 3)(x + 1) = 0 Line 2(x + 3) = 0 (x + 1) = 0 Line 3x = -3 x = -1

Line 1

Line 2

Line 3

Question 2/4

Find the error(quadratic formula):

Line 1

Line 2

Line 3

Question 3/4

Find the error (completing the square):-5x2 + 20x - 15 = 0-5(x2 - 4x ) - 15 = 0 Line 1-5(x2 - 4x + 4) -15 - 4 = 0 Line 2-5(x - 2)2 - 19 = 0 Line 3

Line 1

Line 2

Line 3

Question 4/4

Find the vertex:f(x) = -5x2 + 20x - 15

(4, -15)

(-2, -75)

(2, 5)

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