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DESMOS CALCULATOR

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 graph best represents a quadratic function that has no real zeros?

null

AI.9.7.A

1

Which expression is equivalent to \frac{1}{3}(6x^{2}y)^{2}(2x^{3}y^{4}) for all values of x and y where the expression is defined?

24x^{7}y^{6}

24x^{12}y^{8}

4x^{7}y^{6}

4x^{12}y^{8}

AI.9.11.B

1

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

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

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

AI.9.6.A

1

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

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

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

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

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

AI.9.10.E

1

The quadratic function f(X)=x^2 is transformed to create g as shown in the graph.
what is the equation for g?

g(x)=2f(x-3)+2

g(x)=f(x+3)-2

g(x)=2f(x+3)-2

g(x)=f(x-3)+2

AI.9.7.C

1

If f(x)=x^{2} and g(x)=f(x+72), what is the vertex of the graph of g?

$(0, 72)$

$(-72, 0)$

$(72, 0)$

$(0, -72)$

AI.9.7.C

1

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 -1 and less than or equal to 3

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

All real numbers greater 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

AI.9.6.A

1

Which expression is equivalent to \frac{16k^{9}m^{7}}{4k^{3}m^{14}} for all values of k and m where the expression is defined?

\frac{12k^3}{m^2}

\frac{4k^{6}}{m^7}

\frac{4k^3}{m^2}

\frac{12k^{6}}{m^7}

AI.9.11.B

1

A triangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer.
Which expression represents the perimeter of the triangle in units?

\frac{13}{2}x+1

\frac{47}{6}x

\frac{13}{2}x+\frac{4}{3}

\frac{15}{2}x

AI.9.10.A

2

The graph of f(x)=x is transformed to create the graph of g(x)=\frac{1}{2}f(x)+3. Complete the statement to compare the graphs of f and g.

Choose the correct answer from each drop-down menu to complete the sentence.

The graph of g is that of f.

AI.9.2.E

1

Which function is equivalent to f(x)=4(x-3)^{2}+5?

f(x)=4x^{2}+41

f(x)=4x^{2}-24x+41

f(x)=16x^{2}-96x+149

f(x)=16x^{2}-96x+29

AI.9.6.B

0

Choose two factors to create an expression equivalent to 4x^{2}-81.

Move the correct answer to each box. Each answer may be used more than once. Not all answers will be used.

4x^{2}-81=( )( )

Mmuae Afoforo a Wobɛpaw:

9x - 2

4x - 9

2x + 9

4x + 9

9x + 2

2x - 9

AI.9.10.F

1

If f(x)=3x^{2}-7, what is the value of f(4)?

41

27

17

29

AI.9.12.B

Quadratic Characteristics QUIZ

Quadratic Characteristics QUIZ

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

Which graph best represents a quadratic function that has no real zeros?

Which expression is equivalent to \frac{1}{3}(6x^{2}y)^{2}(2x^{3}y^{4}) for all values of x and y where the expression is defined?

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

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

The quadratic function f(X)=x^2 is transformed to create g as shown in the graph.
what is the equation for g?

If f(x)=x^{2} and g(x)=f(x+72), what is the vertex of the graph of g?

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

Which expression is equivalent to \frac{16k^{9}m^{7}}{4k^{3}m^{14}} for all values of k and m where the expression is defined?

A triangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer.
Which expression represents the perimeter of the triangle in units?

Which function is equivalent to f(x)=4(x-3)^{2}+5?

If f(x)=3x^{2}-7, what is the value of f(4)?

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

Which graph best represents a quadratic function that has no real zeros?

Which expression is equivalent to \frac{1}{3}(6x^{2}y)^{2}(2x^{3}y^{4}) for all values of x and y where the expression is defined?

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

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

The quadratic function f(X)=x^2 is transformed to create g as shown in the graph.
what is the equation for g?

If f(x)=x^{2} and g(x)=f(x+72), what is the vertex of the graph of g?

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

Which expression is equivalent to \frac{16k^{9}m^{7}}{4k^{3}m^{14}} for all values of k and m where the expression is defined?

A triangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer.
Which expression represents the perimeter of the triangle in units?

Which function is equivalent to f(x)=4(x-3)^{2}+5?

If f(x)=3x^{2}-7, what is the value of f(4)?

Quadratic Characteristics QUIZ

Quadratic Characteristics QUIZ

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

Which graph best represents a quadratic function that has no real zeros?

Which expression is equivalent to \frac{1}{3}(6x^{2}y)^{2}(2x^{3}y^{4}) for all values of x and y where the expression is defined?

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

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

The quadratic function f(X)=x^2 is transformed to create g as shown in the graph. what is the equation for g?

If f(x)=x^{2} and g(x)=f(x+72), what is the vertex of the graph of g?

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

Which expression is equivalent to \frac{16k^{9}m^{7}}{4k^{3}m^{14}} for all values of k and m where the expression is defined?

A triangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer. Which expression represents the perimeter of the triangle in units?

Which function is equivalent to f(x)=4(x-3)^{2}+5?

If f(x)=3x^{2}-7, what is the value of f(4)?

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

Which graph best represents a quadratic function that has no real zeros?

Which expression is equivalent to \frac{1}{3}(6x^{2}y)^{2}(2x^{3}y^{4}) for all values of x and y where the expression is defined?

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

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

The quadratic function f(X)=x^2 is transformed to create g as shown in the graph. what is the equation for g?

If f(x)=x^{2} and g(x)=f(x+72), what is the vertex of the graph of g?

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

Which expression is equivalent to \frac{16k^{9}m^{7}}{4k^{3}m^{14}} for all values of k and m where the expression is defined?

A triangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer. Which expression represents the perimeter of the triangle in units?

Which function is equivalent to f(x)=4(x-3)^{2}+5?

If f(x)=3x^{2}-7, what is the value of f(4)?

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

The quadratic function f(X)=x^2 is transformed to create g as shown in the graph.
what is the equation for g?

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

A triangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer.
Which expression represents the perimeter of the triangle in units?

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

The quadratic function f(X)=x^2 is transformed to create g as shown in the graph.
what is the equation for g?

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

A triangle has sides whose lengths in units are represented by polynomials as shown, where x is a positive integer.
Which expression represents the perimeter of the triangle in units?