Quiz about Activities 29, 30, & 31 Graphing Quadratic Functions Test

Question 1

Is the graph linear, exponential, or quadratic?

Accepted Answer

Quadratic

Answer

Linear

Answer

Exponential

Question 2

Is the graph linear, exponential, or quadratic?

Accepted Answer

Exponential

Answer

Linear

Answer

Quadratic

Question 3

Is the graph linear, exponential, or quadratic?

Accepted Answer

Linear

Answer

Exponential

Answer

Quadratic

Question 4

What is the transformation from the graph $$f\left(x\right)=x^2$$ to the graph $$g\left(x\right)=x^2+5$$ ?

Accepted Answer

vertical translation 5 units up

Answer

vertical translation 5 units down

Answer

reflection over the x-axis

Answer

vertical shrink

Question 5

Identify the vertex.

Accepted Answer

(1, -4)

Answer

(-1, 0)

Answer

(0, -3)

Answer

(3, 0)

Question 6

Identify the axis of symmetry.

Accepted Answer

x = 1

Answer

x = -1

Answer

x = 0

Answer

x = 3

Question 7

The graph shows the height, h, of a model rocket t seconds after it is launched from the ground at 112 feet per second. Where is the height of the rocket increasing and decreasing?

Accepted Answer

The height of the rocket is increasing when $$0

Answer

The height of the rocket is always increasing.

Answer

The height of the rocket is always decreasing.

Answer

The height of the rocket is increasing when $$3.5

Question 8

Daryl drew the graph of the function $$y=x^2$$ . Then he drew the graph of the function $$y=\left(x-3\right)^2+4$$ . How is the location of the vertex of the second function different from the location of the vertex of the first function?

Accepted Answer

the vertex is translated from $$\left(0,0\right)$$ to $$\left(3,4\right)$$

Answer

the vertex is in the same location

Answer

the vertex is translated from $$\left(0,0\right)$$ to $$\left(-3,4\right)$$

Answer

the vertex is translated from $$\left(0,0\right)$$ to $$\left(-3,-4\right)$$

Question 9

Given: $$y=\left(x-3\right)^2+4$$ . Select all 3 correct statements that represent the function.

Accepted Answer

quadratic function

Accepted Answer

the graph shifts right 3 units

Accepted Answer

the vertex is

(3 , 4)

Answer

exponential function

Answer

the graph shifts left 3 units

Question 10

Identify the domain and range of the function.

Accepted Answer

Domain: all real numbers

Range: $$y\ge-3$$

Answer

Domain: all real numbers

Range: $$y\le2$$

Answer

Domain: all real numbers

Range: $$y\ge2$$

Answer

Domain: all real numbers

Range: $$y\le-3$$

Question 11

What is the maximum value of the function shown on the graph?

Accepted Answer

10

Answer

0

Answer

5

Answer

12

Question 12

A ball is thrown from the top of a building. The height, y, of the ball is a function of time, x. The graph represents the function. What statement best describes the situation?

Accepted Answer

The ball reaches the ground after 4 seconds. This is presented by the x-intercept of the graph.

Answer

The ball reaches the ground after 1 second. This is presented by the x-intercept of the graph.

Answer

The ball is thrown from a height of 0 feet. This is presented by the y-intercept of the graph.

Answer

The ball is thrown from a height of 36 feet. This is presented by the y-intercept of the graph.

Question 13

A quadratic function is equal to zero when x = -7 and when x = 1. The vertex of the graph of the function is $$\left(-3,-16\right)$$ , and the axis of symmetry is the line x = -3. Which graph represents the function?

Accepted Answer

Option A is correct

Answer

B.

Answer

C.

Answer

D.

Question 14

A basketball player throws the ball upward. The graph models the height of the basketball in feet after x seconds. At what time does the basketball reach its maximum height?

Accepted Answer

0.75 seconds

Answer

0 seconds

Answer

1 second

Answer

1.75 seconds

Question 15

Frank, Gia, and Hector each own a tutoring business. The graphs model how the number of clients has changed each month for all three businesses. Which accurately compares the domains and ranges of these functions? Select all that apply.

Accepted Answer

The range for the function showing Frank's clients is $$2\le y\le18$$ .

Accepted Answer

The range for the function showing Hector's clients is $$y\ge4$$ .

Answer

All three functions have the same domain.

Answer

All three functions have the same range.

Answer

The domain for the function showing Gia's clients is $$x\ge2$$ .

Question 16

The graph of g(x) and the equation representing f(x) are given below. What is the relationship between the vertex of f(x) and the vertex of g(x)?

Accepted Answer

The vertex of f(x) is translated up 6 units and right 5 units from the vertex of g(x).

Answer

The vertex of f(x) is translated up 6 units and right 3 units from the vertex of g(x).

Answer

The vertex of f(x) is translated down 2 units and right 5 units from the vertex of g(x).

Answer

The vertex of f(x) is translated up 2 units and right 3 units from the vertex of g(x).

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