A part of quadratic function g is graphed on the grid. What is the domain of the part of the function shown?

All real numbers greater than or equal to -2 and less than or equal to 3

All real numbers greater than or equal to -4 and less than or equal to 5

All real numbers greater than or equal to -1 and less than or equal to 3

All real numbers greater than or equal to -6 and less than or equal to 6

The table represents some points on the graph of the quadratic function g. What is the range of g?

All real numbers less than or equal to 19/4

All real numbers less than or equal to 3/2

All real numbers greater than or equal to 3/2

All real numbers greater than or equal to 19/4

What is the range of the function f(x) = $$-x^2 + 60x$$ ?

All real numbers that are less than or equal to 900

All real numbers that are greater than or equal to 0 and less than or equal to 30

All real numbers that are greater than or equal to 0 and less than or equal to 60

All real numbers that are greater than or equal to 900

Which statement about the function $$n(x) = 5x^2 - 20x + 12$$ is true?

The range of the function is n(x) ≥ -8.

The domain of the function is x ≥ 2.

The domain of the function is x ≥ 0.

The range of the function is n(x) ≤ 12.

A quadratic function is graphed on the grid. Which answer choice best represents the domain and range of the function?

Domain: All real numbers, Range: y ≥ 5

Domain: x ≥ -3, Range: y ≥ 5

Domain: x ≥ -3, Range: All real numbers

Domain: y ≥ 5, Range: x ≥ -3

What is the range for this situation?

All real numbers greater than or equal to 0 and less than or equal to 7.66

All real numbers less than or equal to 7.66

All real numbers less than or equal to 1.25

All real numbers greater than or equal to 0 and less than or equal to 1.25

What are the domain and range of $$g(x) = -\frac{1}{4}(x - 17)^2 + 61$$ ?

Domain: All real numbers Range: $$g(x) \leq 61$$

Domain: $$x \leq 17$$ Range: $$g(x) \leq 61$$

Domain: All real numbers Range: $$x \leq 17$$

Domain: $$g(x) \geq 61$$ Range: $$x \leq 17$$

The graph of quadratic function r is shown on the grid. Which answer choice best represents the intercepts of the graph of r?

D. x-intercepts: (–10, 0) and (2, 0) y-intercept: (0, –5)

A. x-intercept: (5, 0) y-intercepts: (0, 10) and (0, –2)

B. x-intercepts: (0, –10) and (0, 2) y-intercept: (–5, 0)

C. x-intercept: (0, 5) y-intercepts: (10, 0) and (–2, 0)

Which statement appears to be true?

The equation of the axis of symmetry of the graph of the function is x=1.

The maximum value of the function is 3.

The vertex of the graph of the function is (4,1).

The graph of $$y=3x^2-2$$ is shown below. If the coefficient of $$x^2$$ is changed from 3 to another positive number to create a new function, how will the graph of the new function compare with the graph of the original function?

The new graph will be wider or narrower than the original graph.

The x-intercepts of the new graph will be the same as the x-intercepts of the original graph.

The vertex of the new graph will be different from the vertex of the original graph.

The new graph will open in the opposite direction as the original graph.

Which statement about the relationship between the graph of f and the graph of $$g\left(x\right)=7x^2$$ is true?

The graph of g is narrower than the graph of f.

The graph of g is wider than the graph of f.

The graph of g is 7 units below the graph of f.

The graph of g is 7 units above the graph of f.

The graph of $$f\left(x\right)=x^2$$ was transformed to create the graph of $$g\left(x\right)=\left(x-7.5\right)^2$$ . Which of these describes this transformation?

A horizontal shift to the right 7.5 units.

A horizontal shift to the left 7.5 units.

A vertical shift down 56.25 units.

A vertical shift up 56.25 units.

Quadratic functions q and w are graphed on the same coordinate grid. The vertex of the graph of q is 18 units below the vertex of the graph of w. Which pair of functions could have been used to create the graphs of q and w?

$$q\left(x\right)=x^2-18$$ and $$w\left(x\right)=x^2$$

$$q\left(x\right)=18x^2$$ and $$w\left(x\right)=x^2$$

$$q\left(x\right)=x^2+18$$ and $$w\left(x\right)=x^2$$

$$q\left(x\right)=-18x^2$$ and $$w\left(x\right)=x^2$$

The graph of $$g\left(x\right)=x^2$$ was transformed to create the graph of $$h\left(x\right)=-\left(\frac{x}{4}\right)^2$$ . Which of these describes the transformation from the graph of g to the graph of h?

A reflection over the x-axis and a horizontal stretch.

A reflection over the y-axis and a horizontal stretch.

A reflection over the x-axis and a vertical stretch.

A reflection over the y-axis and a vertical stretch.

The graph of $$f\left(x\right)=x^2$$ was transformed to create the graph of $$g\left(x\right)=f\left(x\right)-9$$ . Which statement about the graph is true?

The y-intercept of the graph of g is 9 units below the y-intercept of the graph of f.

The graph of g is a reflection of the graph of f across the x-axis.

The vertex of the graph of g is 9 units to the right of the vertex of the graph of f.

The graph of g is a reflection of the graph of f across the y-axis.

Which answer choice describes how the graph of $$f\left(x\right)=x^2$$ was transformed to create the graph of $$n\left(x\right)=x^2-1$$

A horizontal shift to the right

A.6A-C, A.7A,C released

Quiz

•

Mathematics

•

9th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF-IF.C.7A, 8.F.A.1, HSA-SSE.B.3B

+3

Standards-aligned

PARBATI TRAN

Used 4+ times

FREE Resource

55 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

What is the domain of the function graphed below?

0 < x ≤ 5

2 < x ≤ 5

0 < x ≤ 4

0 < x < 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

2.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The table shows some ordered pairs that belong to quadratic function h. What is the range of h?

All real numbers

All real numbers greater than or equal to -7

All real numbers greater than or equal to -8

All real numbers greater than or equal to 0

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?

A

B

C

D

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

4.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

f(x) ≥ 9

All real numbers

-3 ≤ x ≤ 3

x ≤ 9

5.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

Which graph best represents a function with a range of all real numbers greater than or equal to -6?

A

B

C

D

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

6.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

7.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

The graph of quadratic function f is shown on the grid.
Which of these best represents the domain of f?

-3 ≤ x ≤ 2

All real numbers

y ≥ 5.5

All real numbers less than -3 or greater than 2

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

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A.6A-C, A.7A,C released

55 questions

What is the domain of the function graphed below?

The table shows some ordered pairs that belong to quadratic function h. What is the range of h?

Which graph represents a function with a domain of all real numbers greater than or equal to -7 and less than 2?

Which graph best represents a function with a range of all real numbers greater than or equal to -6?

The graph of quadratic function f is shown on the grid. Which of these best represents the domain of f?

A part of quadratic function g is graphed on the grid. What is the domain of the part of the function shown?

The table represents some points on the graph of the quadratic function g. What is the range of g?

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Discover more resources for Mathematics

The graph of quadratic function f is shown on the grid.
Which of these best represents the domain of f?

The table represents some points on the graph of the quadratic function g.
What is the range of g?