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New STAAR questions: Quadratics

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Last updated over 3 years ago
42 questions
Note from the author:
Practice Set A: Factoring
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A1.C.8.a
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3
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3
Practice Set B: Identifying parts of a parabola
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2
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1
2
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Practice Set C: Graphing Quadratics
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3
Practice Set D: Domain and Range
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Practice Set E: Transformations and the Vertex Form
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3
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Practice Set F: Quadratic formula
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Designed to give students extra practice with new STAAR question types
Question 1
1.

Question 2
2.

Question 3
3.

Question 4
4.

Question 5
5.

Question 6
6.

Question 7
7.

The area of a rectangle is represented by the expression 6x2 - 7x - 5.
The height is represented by the expression 2x + 1.
Write an expression in terms of x to represent the length of the rectangle.

Show your work then write your final answer is the box below:

Question 8
8.

Question 9
9.

Question 10
10.

Question 11
11.

The graph of a quadratic function is shown. What are the zeros of the function?
Select the TWO correct circles that represent the points.

Question 12
12.

The graph of a quadratic function is shown.
Select the TWO circles that correctly represent the roots.

Question 13
13.

Question 14
14.

Question 15
15.

Question 16
16.

The three points shown lie on the graph of a quadratic function. Graph the line of symmetry.

Question 17
17.

The three points shown lie on the graph of a quadratic function. Graph the line of symmetry.

Question 18
18.
The graph represents a quadratic function.
Select one correct answer from each box to compete the statement.


The function has a __________ value of __________
Question 19
19.
The graph represents a quadratic function.
Select one correct answer from each box to compete the statement.





The function has a __________ value of __________
Question 20
20.

What is the graph of the funciton below?
You will need to plot the vertex and one other point on the curve.

  • Click a Graph tab (Graph 1, Graph 2, and so on) for each graph you need to plot.
  • Click on the graph background to add a point. Add two points to create a graph. Drag a point or type in x and y coordinates to edit its position. Click on a point to delete it.
  • After creating your graph, you can check the dashed line box.
Question 21
21.

What is the graph of the function below?
You will need to plot the roots and at least one other point on the curve.

Question 22
22.

Question 23
23.

Question 24
24.

Question 25
25.
  1. The function f(x) was transformed to create the function h(x) = f(x + 3)2 - 1.
Select ONE correct answer in each box to complete the sentence.

The graph of f is translated 3 units__________ and 1 unit __________
Question 26
26.
  1. The function f(x) was transformed to create the function h(x) = f(x - 5)2 - 7.
Select ONE correct answer in each box to complete the sentence.

The graph of f is translated 5 units__________ and 7 units __________
Question 27
27.
  1. The function f(x) was transformed to create the function h(x) = f(x + 2)2 + 8
Select ONE correct answer in each box to complete the sentence.

The graph of f is translated 2 units__________ and 8 units __________
Question 28
28.

Question 29
29.

Question 30
30.
Other Answer Choices:
Question 31
31.
Other Answer Choices:
Question 32
32.
Other Answer Choices:
Question 33
33.

Question 34
34.

Question 35
35.

Question 36
36.

A quadratic function is defined as f(x) = (x + 3)2 - 10.
What is the equation for this function in standard form?

Show your work then write your final answer is the space provided.

Question 37
37.

A quadratic function is defined as f(x) = (x - 2)2 - 3.
What is the equation for this function in standard form?

Show your work then write your final answer is the space provided.

Question 38
38.

A quadratic function is defined as f(x) = 3(x - 1)2 + 4
What is the equation for this function in standard form?

Show your work then write your final answer is the space provided.

Question 39
39.

A quadratic function is defined as f(x) = f(x) = - (x + 2)2 - 5.
What is the equation for this function in standard form?

Show your work then write your final answer is the space provided.

Question 40
40.

Question 41
41.

Question 42
42.

What are the factors of this expression?


Select TWO correct answers
(3x + 1)
(x + 3)
(x + 2)
(x + 1)
(3x + 2)
What are the factors of this expression?


Select TWO correct answers
(x + 32)
(x - 32)
(x + 8)
(x - 8)
(x + 16)
(x - 4)
What are the factors of this expression?

(x + 6)
(x - 6)
(2x + 3)
(2x - 3)
(2x + 5)
(x - 4)
Which statement is true regarding this function?

The only zero is -2/5 because f(x) = 3(2x +5)2
The only zero is 5/2 because f(x) = 3(2x -5 )2
The zeros are 2/5 and -2/5 because f(x) = 3(2x +5)(2x - 5)
The zeros are 5/2 and -5/2 because f(x) = 3(2x +5) (2x - 5)
Which statement is true regarding this function?

The only zero is -0.4 because f(x) = (5x +2)2
The only zero is 0.4 because f(x) = (5x - 2)2
The zeros are 2/5 and -2/5 because f(x) = (5x +2)(5x - 2)
The zeros are 5/2 and -5/2 because f(x) = (5x +2) (5x - 2)
Which statement is true regarding this function?

The only zero is -3/4 because f(x) = (4x + 3)2
The only zero is 3/4 because f(x) = (4x - 3)2
The zeros are 3/4 and -3/4 because f(x) = (4x + 3)(4x - 3)
The zeros are 4/3 and -4/3 because f(x) = (4x +3) (4x - 3)
Factor this trinomial.
Indicate your answer by selecting one leter for each box using the information in the gray box.

Factor this trinomial.
Indicate your answer by selecting one leter for each box using the information in the gray box.


Factor this trinomial.
Indicate your answer by selecting one leter for each box using the information in the gray box.

The graph of a quadratic is shown on the grid.

Which statement is NOT supported by the graph?

The function has a zero at -3.
The minmum value of the function is -4.
The vertex of the graph is (-4, -1)
The equation of the axis of symmetry is x = -1.

The graph of a quadratic is shown on the grid.

Which statement is

BEST supported by the graph?
The function has a y-intercept at 4.
The minimum value of the function is 4.
The vertex of the graph is (0, -2).
The equation of the axis of symmetry is x = 0.

The graph of a quadratic is shown on the grid.

Which statement is BEST

supported by the graph?
The function has a y-intercept at -4.
The minimum value of the functionis 4.
The vertex of the graph is (-2, 0)
The equation of the axis of symmetry is x = 0
Identify the domain and range of the function graphed below:

Select TWO correct answers
Domain: All real numbers greater than or equal to 1
Domain: All real numbers less than or equal to -3
Domain: All real numbers
Range: All real numbers greater than or equal to 4
Range: All real numbers less than or equal to 4
Range: All real numbers
Identify the domain and range of the function graphed below:



Select TWO correct answers
Domain: All real numbers greater than or equal to 1
Domain: All real numbers less than or equal to 1
Domain: All real numbers
Range: All real numbers greater than or equal to 0
Range: All real numbers less than or equal to 1
Range: All real numbers
A function is shown. What is the range of the function?

All real numbers
All real numbers greater than or equal to 6
All real numbers greater than or equal to 8
All real numbers greater than or equal to 23
The functions f(x) and g(x) = 3 f(x) - 4 are graphed on the same coordinate grid.
Which statements are true?
Select TWO correct answers.
The graph of g is narrower than the graph of f(x).
The graph of g is wider than the graph of f(x).
To create g, the graph of f is translated 4 units to the right.
To create g, the graph of f is translated 4 units to the left.
To create g, the graph of f is translated 4 units to the up.
To create g, the graph of f is translated 4 units to the down.
The functions f(x) and g(x) = -0.5f(x - 4) + 3 are graphed on the same coordinate grid.

Select TWO correct answers.
The graph of g is narrower than the graph of f(x).
The graph of g is wider than the graph of f(x).
To create g, the graph of f(x) has been reflected across the x- axis.
To create g, the graph of f(x) has been reflected across the y- axis,
Place the functions below in order from narrowest to widest.
_______________ ________ ________ ________
g(x) = 4x2
Place the functions below in order from narrowest to widest.
________ ______________________ ________ ________
Place the functions below in order from narrowest to widest.
________ ________ ________ ________
Quadratic function f has a vertex ( 5, 9) and passess through the point (2, 3)
Which equation represents f ?

Click the lightbulb at the bottom to see a hint.
Quadratic function f has a vertex ( -6, 4) and passess through the point (-11, 39)
Which equation represents f ?

Click the lightbulb at the bottom to see a hint.
Quadratic function f has a vertex ( 3, 1) and passess through the point (4, -1)
Which equation represents f ?

Click the lightbulb at the bottom to see a hint.
For quadratic function f, the solutions to the equation f(x) = 0 are


Which function could represent f ?
  1. For quadratic function f, the solutions to the equation f(x) = 0 are x = 8 and x = -6
Which function could represent f ?
What are the solutions to the equation below?