STAAR Review: Quadratic Characteristics

Use the link below to access the desmos calculator you will have on the EOC.

DESMOS

1

The graph of the quadratic function h is shown on the grid.
Which function is best represented by the graph of h?

h(x)=-x^{2}-8x-15

h(x)=x^{2}-8x+15

h(x)=x^{2}+8x+15

h(x)=-x^{2}+8x-15

AI.9.6.C

1

Which function is equivalent to f(x)=6x^{2}-23x+21?

f(x)=(3x-7)(2x-3)

f(x)=(6x-7)(x-3)

f(x)=3(x-1)(2x-7)

f(x)=3(x-7)(2x-1)

AI.9.10.E

1

The graph of quadratic function h is shown.
Which function best represents h?

h(x)=x^{2}-2x-3

h(x)=x^{2}+4x+3

h(x)=x^{2}-4x+3

h(x)=x^{2}+2x-3

AI.9.6.B

1

Which expression is a factor of 30x^{2}-4x-16?

5x - 4

3x - 4

3x - 2

5x + 4

AI.9.10.E

1

Which statement about f(x)=4x^{2}-36x+81 is true?

The zeros are \pm\frac{9}{2} because f(x)=(2x-9)(2x+9)

The zeros are \frac{3}{4} and -27 because f(x)=(4x-3)(x-27)

The zeros are -\frac{3}{2} and \frac{27}{2} because f(x)=(2x+3)(2x+27)

The only zero is \frac{9}{2} because f(x)=(2x-9)^{2}

AI.9.7.B

1

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

The domain of the function is x > 0.

The domain of the function is x > 2.

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

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

AI.9.6.A

1

The graph of a quadratic function is shown on the grid.
Which statement appears to be true?

The function has 3 zeros.

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

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

The maximum value of the function is 3.

AI.9.7.A

2

Which expressions are equivalent to 12x^{2}-48x+48?
Select TWO correct answers.

AI.9.10.E

1

Which quadratic function in vertex form can be represented by the graph that has a vertex at (1, 46) and passes through the point (3, 10)?

y=-9(x-1)^{2}+46

y=9(x-3)^2

y=9(x-1)^{2}+46

y=-9(x-3)^{2}+10

AI.9.6.B

2

The function ${f(x)=x}^{2}$ was transformed to create the function $g(x)=f(x-3)-9$. What are the coordinates of the vertex of the graph of g?

Move the correct answer to each box. Not all answers will be used.

( , )

Další možnosti odpovědí:

0

-9

-3

3

9

AI.9.7.C

1

Function k is defined as k(x)=x^{2}+32x+248. What are the solutions to k(x)=0?

x=-16+2\sqrt{2} and x=-16-2\sqrt{2}

x=32+4\sqrt{2} and x = 32-4\sqrt{2}

x=-32+4\sqrt{2} and x=-32-4\sqrt{2}

x=16+2\sqrt{2} and x=16-2\sqrt{2}

AI.9.8.A

2

The graph of the quadratic function is shown.
Which values best represent the zeros of the function?
Select TWO correct answers.

AI.9.7.A

1

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

x-intercepts: (-10, 0) and (2, 0)

y-intercept: (0, -5)

x-intercepts: (0, -10) and (0, 2)

y-intercept: (-5, 0)

x-intercept: (5, 0)

y-intercepts: (0, 10) and (0, -2)

x-intercepts: (0, 5)

y-intercepts: (10, 0) and (-2, 0)

AI.9.7.A

1

Which graph best represents a quadratic function with a range of all real numbers greater than or equal to 3?

null

AI.9.6.A

1

Which answer choice describes how the graph of f(x)=x^{2} was transformed to create the graph of n(x)=x^{2}-1?

A horizontal shift to the left

A horizontal shift to the right

A vertical shift up

A vertical shift down

AI.9.7.C

1

The expression d^{2}-d-6 can be written in factored form as (d+2)(d+k), where k represents a number. What is the value of k?
Record your answer in the box below.

AI.9.10.E

1

Which value of x is the solution to this equation?
5x^{2}=30x-45

x = -5

x = 5

x = 3

x = -3

AI.9.8.A

2

What is the positive solution to x^{2}+9x-22=0?
Record your answer in the space below.

AI.9.8.A

1

Given f(x)=x^{2}-36, which statement is true?

The only zeros, -6 and 6, can be found when 0 = (x + 6)(x - 6)

The only zero, 18, can be found when 0 = (x - 18)(x - 18).

The only zeros, -18 and 18, can be found when 0 = (x + 18)(x - 18)

The only zero, 6, can be found when 0 - (x - 6)(x - 6).

AI.9.7.B

1

Which expression is a factor of 10x^{2}-19x+6?

5x - 2

5x - 3

10x - 1

10x - 3

AI.9.10.E

1

Which graph best represents h(x)=(x+1)(x-3)?

null

AI.9.7.A

1

Quadratic functions p and q are graphed on the grid. The graph of p transformed to create the graph of q.
Which function best represents the graph of q?

q(x)=-x^{2}-2

q(x)=-(x-2)^2

q(x)=-(x+2)^2

q(x)=-x^{2}+2

AI.9.7.C

STAAR Review: Quadratic Characteristics

The graph of the quadratic function h is shown on the grid. Which function is best represented by the graph of h?

Which function is equivalent to f(x)=6x^{2}-23x+21?

The graph of quadratic function h is shown. Which function best represents h?

Which expression is a factor of 30x^{2}-4x-16?

Which statement about f(x)=4x^{2}-36x+81 is true?

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

The graph of a quadratic function is shown on the grid. Which statement appears to be true?

Which expressions are equivalent to 12x^{2}-48x+48?Select TWO correct answers.

Which quadratic function in vertex form can be represented by the graph that has a vertex at (1, 46) and passes through the point (3, 10)?

Function k is defined as k(x)=x^{2}+32x+248. What are the solutions to k(x)=0?

The graph of the quadratic function is shown. Which values best represent the zeros of the function?Select TWO correct answers.

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

Which graph best represents a quadratic function with a range of all real numbers greater than or equal to 3?

Which answer choice describes how the graph of f(x)=x^{2} was transformed to create the graph of n(x)=x^{2}-1?

The expression d^{2}-d-6 can be written in factored form as (d+2)(d+k), where k represents a number. What is the value of k?Record your answer in the box below.

Which value of x is the solution to this equation?5x^{2}=30x-45

What is the positive solution to x^{2}+9x-22=0?Record your answer in the space below.

Given f(x)=x^{2}-36, which statement is true?

Which expression is a factor of 10x^{2}-19x+6?

Which graph best represents h(x)=(x+1)(x-3)?

Quadratic functions p and q are graphed on the grid. The graph of p transformed to create the graph of q. Which function best represents the graph of q?

The graph of the quadratic function h is shown on the grid. Which function is best represented by the graph of h?

Which function is equivalent to f(x)=6x^{2}-23x+21?

The graph of quadratic function h is shown. Which function best represents h?

Which expression is a factor of 30x^{2}-4x-16?

Which statement about f(x)=4x^{2}-36x+81 is true?

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

The graph of a quadratic function is shown on the grid. Which statement appears to be true?

Which expressions are equivalent to 12x^{2}-48x+48?Select TWO correct answers.

Which quadratic function in vertex form can be represented by the graph that has a vertex at (1, 46) and passes through the point (3, 10)?

Function k is defined as k(x)=x^{2}+32x+248. What are the solutions to k(x)=0?

The graph of the quadratic function is shown. Which values best represent the zeros of the function?Select TWO correct answers.

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

Which graph best represents a quadratic function with a range of all real numbers greater than or equal to 3?

Which answer choice describes how the graph of f(x)=x^{2} was transformed to create the graph of n(x)=x^{2}-1?

The expression d^{2}-d-6 can be written in factored form as (d+2)(d+k), where k represents a number. What is the value of k?Record your answer in the box below.

Which value of x is the solution to this equation?5x^{2}=30x-45

What is the positive solution to x^{2}+9x-22=0?Record your answer in the space below.

Given f(x)=x^{2}-36, which statement is true?

Which expression is a factor of 10x^{2}-19x+6?

Which graph best represents h(x)=(x+1)(x-3)?

Quadratic functions p and q are graphed on the grid. The graph of p transformed to create the graph of q. Which function best represents the graph of q?

The graph of the quadratic function h is shown on the grid.
Which function is best represented by the graph of h?

The graph of quadratic function h is shown.
Which function best represents h?

The graph of a quadratic function is shown on the grid.
Which statement appears to be true?

Which expressions are equivalent to 12x^{2}-48x+48?
Select TWO correct answers.

The graph of the quadratic function is shown.
Which values best represent the zeros of the function?
Select TWO correct answers.

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

The expression d^{2}-d-6 can be written in factored form as (d+2)(d+k), where k represents a number. What is the value of k?
Record your answer in the box below.

Which value of x is the solution to this equation?
5x^{2}=30x-45

What is the positive solution to x^{2}+9x-22=0?
Record your answer in the space below.

Quadratic functions p and q are graphed on the grid. The graph of p transformed to create the graph of q.
Which function best represents the graph of q?

The graph of the quadratic function h is shown on the grid.
Which function is best represented by the graph of h?

The graph of quadratic function h is shown.
Which function best represents h?

The graph of a quadratic function is shown on the grid.
Which statement appears to be true?

Which expressions are equivalent to 12x^{2}-48x+48?
Select TWO correct answers.

The graph of the quadratic function is shown.
Which values best represent the zeros of the function?
Select TWO correct answers.

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

The expression d^{2}-d-6 can be written in factored form as (d+2)(d+k), where k represents a number. What is the value of k?
Record your answer in the box below.

Which value of x is the solution to this equation?
5x^{2}=30x-45

What is the positive solution to x^{2}+9x-22=0?
Record your answer in the space below.

Quadratic functions p and q are graphed on the grid. The graph of p transformed to create the graph of q.
Which function best represents the graph of q?