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?

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

the vertex is in the same location

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

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

Identify the domain and range of the function.

Domain: all real numbers Range: $$y\ge-3$$

Domain: all real numbers Range: $$y\le2$$

Domain: all real numbers Range: $$y\ge2$$

Domain: all real numbers Range: $$y\le-3$$

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?

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

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

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

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

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.

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

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

All three functions have the same domain.

All three functions have the same range.

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

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)?

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

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

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

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

Activities 29, 30, & 31 Graphing Quadratic Functions Test

Authored by Cara Bergeron

Mathematics

9th Grade

CCSS covered

Used 34+ times

Activities 29, 30, & 31 Graphing Quadratic Functions Test

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16 questions

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MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Is the graph linear, exponential, or quadratic?

Linear

Exponential

Quadratic

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

CCSS.HSA.REI.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.IF.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Is the graph linear, exponential, or quadratic?

Linear

Exponential

Quadratic

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.LE.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Is the graph linear, exponential, or quadratic?

Linear

Exponential

Quadratic

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

vertical translation 5 units down

reflection over the x-axis

vertical translation 5 units up

vertical shrink

Tags

CCSS.HSF.BF.B.3

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Identify the vertex.

(-1, 0)

(0, -3)

(1, -4)

(3, 0)

Tags

CCSS.HSF-IF.C.7A

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Identify the axis of symmetry.

x = -1

x = 0

x = 3

x = 1

Tags

CCSS.HSA.REI.B.4

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

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?

The height of the rocket is always increasing.

The height of the rocket is always decreasing.

Tags

CCSS.HSA.REI.D.10

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